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Finding the Fourth Proportional to 17,987.70, 24,823.08 and 9,921.16

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Solution

The fourth proportional to 17,987.70, 24,823.08 and 9,921.16 is: 13,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,987.70 : 24,823.08 = 9,921.16 : x
  2. Step 2: Convert to fraction form
    17,987.70/24,823.08 = 9,921.16/x
  3. Step 3: Cross multiply
    17,987.70x = 24,823.08 × 9,921.16
  4. Step 4: Simplify right side
    17,987.70x = 246,273,748.37
  5. Step 5: Solve for x
    x = 246,273,748.37/17,987.70
  6. Step 6: Final answer
    x = 13,691.23

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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.