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Finding the Fourth Proportional to 16,445.28, 22,698 and 9,643.76

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Solution

The fourth proportional to 16,445.28, 22,698 and 9,643.76 is: 13,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,445.28 : 22,698 = 9,643.76 : x
  2. Step 2: Convert to fraction form
    16,445.28/22,698 = 9,643.76/x
  3. Step 3: Cross multiply
    16,445.28x = 22,698 × 9,643.76
  4. Step 4: Simplify right side
    16,445.28x = 218,894,064.48
  5. Step 5: Solve for x
    x = 218,894,064.48/16,445.28
  6. Step 6: Final answer
    x = 13,310.45

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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.