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Finding the Fourth Proportional to 16,361, 22,581.04 and 9,287.28

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Solution

The fourth proportional to 16,361, 22,581.04 and 9,287.28 is: 12,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361 : 22,581.04 = 9,287.28 : x
  2. Step 2: Convert to fraction form
    16,361/22,581.04 = 9,287.28/x
  3. Step 3: Cross multiply
    16,361x = 22,581.04 × 9,287.28
  4. Step 4: Simplify right side
    16,361x = 209,716,441.17
  5. Step 5: Solve for x
    x = 209,716,441.17/16,361
  6. Step 6: Final answer
    x = 12,818.07

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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.