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Finding the Fourth Proportional to 57,440, 86,160 and 15,887

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Solution

The fourth proportional to 57,440, 86,160 and 15,887 is: 23,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,440 : 86,160 = 15,887 : x
  2. Step 2: Convert to fraction form
    57,440/86,160 = 15,887/x
  3. Step 3: Cross multiply
    57,440x = 86,160 × 15,887
  4. Step 4: Simplify right side
    57,440x = 1,368,823,920
  5. Step 5: Solve for x
    x = 1,368,823,920/57,440
  6. Step 6: Final answer
    x = 23,830.50

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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.