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Finding the Fourth Proportional to 8,840.76, 12,219.75 and 7,770.50

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Solution

The fourth proportional to 8,840.76, 12,219.75 and 7,770.50 is: 10,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840.76 : 12,219.75 = 7,770.50 : x
  2. Step 2: Convert to fraction form
    8,840.76/12,219.75 = 7,770.50/x
  3. Step 3: Cross multiply
    8,840.76x = 12,219.75 × 7,770.50
  4. Step 4: Simplify right side
    8,840.76x = 94,953,567.38
  5. Step 5: Solve for x
    x = 94,953,567.38/8,840.76
  6. Step 6: Final answer
    x = 10,740.43

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Half scale
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Double scale
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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.