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Finding the Fourth Proportional to 8,842.76, 12,222.52 and 7,772.50

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Solution

The fourth proportional to 8,842.76, 12,222.52 and 7,772.50 is: 10,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.76 : 12,222.52 = 7,772.50 : x
  2. Step 2: Convert to fraction form
    8,842.76/12,222.52 = 7,772.50/x
  3. Step 3: Cross multiply
    8,842.76x = 12,222.52 × 7,772.50
  4. Step 4: Simplify right side
    8,842.76x = 94,999,536.70
  5. Step 5: Solve for x
    x = 94,999,536.70/8,842.76
  6. Step 6: Final answer
    x = 10,743.20

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Half scale
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Double scale
Find fourth proportional to 8,843.76, 12,223.90 and 7,773.50
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.