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Finding the Fourth Proportional to 17,857.60, 24,642.57 and 9,899.74

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Solution

The fourth proportional to 17,857.60, 24,642.57 and 9,899.74 is: 13,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.60 : 24,642.57 = 9,899.74 : x
  2. Step 2: Convert to fraction form
    17,857.60/24,642.57 = 9,899.74/x
  3. Step 3: Cross multiply
    17,857.60x = 24,642.57 × 9,899.74
  4. Step 4: Simplify right side
    17,857.60x = 243,955,035.93
  5. Step 5: Solve for x
    x = 243,955,035.93/17,857.60
  6. Step 6: Final answer
    x = 13,661.13

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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.