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Finding the Fourth Proportional to 16,972.32, 23,421.84 and 9,520.32

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Solution

The fourth proportional to 16,972.32, 23,421.84 and 9,520.32 is: 13,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972.32 : 23,421.84 = 9,520.32 : x
  2. Step 2: Convert to fraction form
    16,972.32/23,421.84 = 9,520.32/x
  3. Step 3: Cross multiply
    16,972.32x = 23,421.84 × 9,520.32
  4. Step 4: Simplify right side
    16,972.32x = 222,983,411.79
  5. Step 5: Solve for x
    x = 222,983,411.79/16,972.32
  6. Step 6: Final answer
    x = 13,138.06

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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.