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Finding the Fourth Proportional to 10,854.40, 14,920.91 and 9,785.20

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Solution

The fourth proportional to 10,854.40, 14,920.91 and 9,785.20 is: 13,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.40 : 14,920.91 = 9,785.20 : x
  2. Step 2: Convert to fraction form
    10,854.40/14,920.91 = 9,785.20/x
  3. Step 3: Cross multiply
    10,854.40x = 14,920.91 × 9,785.20
  4. Step 4: Simplify right side
    10,854.40x = 146,004,088.53
  5. Step 5: Solve for x
    x = 146,004,088.53/10,854.40
  6. Step 6: Final answer
    x = 13,451.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.