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Finding the Fourth Proportional to 9,290.50, 12,803.19 and 9,119.71

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Solution

The fourth proportional to 9,290.50, 12,803.19 and 9,119.71 is: 12,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.50 : 12,803.19 = 9,119.71 : x
  2. Step 2: Convert to fraction form
    9,290.50/12,803.19 = 9,119.71/x
  3. Step 3: Cross multiply
    9,290.50x = 12,803.19 × 9,119.71
  4. Step 4: Simplify right side
    9,290.50x = 116,761,340.96
  5. Step 5: Solve for x
    x = 116,761,340.96/9,290.50
  6. Step 6: Final answer
    x = 12,567.82

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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.