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Finding the Fourth Proportional to 56,925, 85,387.50 and 15,372

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Solution

The fourth proportional to 56,925, 85,387.50 and 15,372 is: 23,058

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,925 : 85,387.50 = 15,372 : x
  2. Step 2: Convert to fraction form
    56,925/85,387.50 = 15,372/x
  3. Step 3: Cross multiply
    56,925x = 85,387.50 × 15,372
  4. Step 4: Simplify right side
    56,925x = 1,312,576,650
  5. Step 5: Solve for x
    x = 1,312,576,650/56,925
  6. Step 6: Final answer
    x = 23,058

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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.