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Finding the Fourth Proportional to 37,728, 56,590.08 and 11,432.64

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Solution

The fourth proportional to 37,728, 56,590.08 and 11,432.64 is: 17,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728 : 56,590.08 = 11,432.64 : x
  2. Step 2: Convert to fraction form
    37,728/56,590.08 = 11,432.64/x
  3. Step 3: Cross multiply
    37,728x = 56,590.08 × 11,432.64
  4. Step 4: Simplify right side
    37,728x = 646,974,012.21
  5. Step 5: Solve for x
    x = 646,974,012.21/37,728
  6. Step 6: Final answer
    x = 17,148.38

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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.