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Finding the Fourth Proportional to 15,713.80, 21,686.94 and 9,001.60

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Solution

The fourth proportional to 15,713.80, 21,686.94 and 9,001.60 is: 12,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.80 : 21,686.94 = 9,001.60 : x
  2. Step 2: Convert to fraction form
    15,713.80/21,686.94 = 9,001.60/x
  3. Step 3: Cross multiply
    15,713.80x = 21,686.94 × 9,001.60
  4. Step 4: Simplify right side
    15,713.80x = 195,217,159.10
  5. Step 5: Solve for x
    x = 195,217,159.10/15,713.80
  6. Step 6: Final answer
    x = 12,423.29

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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.