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Finding the Fourth Proportional to 17,875.64, 24,668.20 and 9,917.66

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Solution

The fourth proportional to 17,875.64, 24,668.20 and 9,917.66 is: 13,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.64 : 24,668.20 = 9,917.66 : x
  2. Step 2: Convert to fraction form
    17,875.64/24,668.20 = 9,917.66/x
  3. Step 3: Cross multiply
    17,875.64x = 24,668.20 × 9,917.66
  4. Step 4: Simplify right side
    17,875.64x = 244,650,820.41
  5. Step 5: Solve for x
    x = 244,650,820.41/17,875.64
  6. Step 6: Final answer
    x = 13,686.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.