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Finding the Fourth Proportional to 56,832, 85,248 and 17,920

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Solution

The fourth proportional to 56,832, 85,248 and 17,920 is: 26,880

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,832 : 85,248 = 17,920 : x
  2. Step 2: Convert to fraction form
    56,832/85,248 = 17,920/x
  3. Step 3: Cross multiply
    56,832x = 85,248 × 17,920
  4. Step 4: Simplify right side
    56,832x = 1,527,644,160
  5. Step 5: Solve for x
    x = 1,527,644,160/56,832
  6. Step 6: Final answer
    x = 26,880

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.