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Finding the Fourth Proportional to 9,012.71, 13,522.19 and 7,985.52

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Solution

The fourth proportional to 9,012.71, 13,522.19 and 7,985.52 is: 11,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.71 : 13,522.19 = 7,985.52 : x
  2. Step 2: Convert to fraction form
    9,012.71/13,522.19 = 7,985.52/x
  3. Step 3: Cross multiply
    9,012.71x = 13,522.19 × 7,985.52
  4. Step 4: Simplify right side
    9,012.71x = 107,981,718.69
  5. Step 5: Solve for x
    x = 107,981,718.69/9,012.71
  6. Step 6: Final answer
    x = 11,981.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.