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Finding the Fourth Proportional to 17,920.18, 24,729.21 and 9,962.74

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Solution

The fourth proportional to 17,920.18, 24,729.21 and 9,962.74 is: 13,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.18 : 24,729.21 = 9,962.74 : x
  2. Step 2: Convert to fraction form
    17,920.18/24,729.21 = 9,962.74/x
  3. Step 3: Cross multiply
    17,920.18x = 24,729.21 × 9,962.74
  4. Step 4: Simplify right side
    17,920.18x = 246,370,689.64
  5. Step 5: Solve for x
    x = 246,370,689.64/17,920.18
  6. Step 6: Final answer
    x = 13,748.23

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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.