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Finding the Fourth Proportional to 17,854.42, 24,640 and 9,896.68

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Solution

The fourth proportional to 17,854.42, 24,640 and 9,896.68 is: 13,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.42 : 24,640 = 9,896.68 : x
  2. Step 2: Convert to fraction form
    17,854.42/24,640 = 9,896.68/x
  3. Step 3: Cross multiply
    17,854.42x = 24,640 × 9,896.68
  4. Step 4: Simplify right side
    17,854.42x = 243,854,195.20
  5. Step 5: Solve for x
    x = 243,854,195.20/17,854.42
  6. Step 6: Final answer
    x = 13,657.92

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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.