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Finding the Fourth Proportional to 38,663.04, 57,978.24 and 12,005.76

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Solution

The fourth proportional to 38,663.04, 57,978.24 and 12,005.76 is: 18,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,663.04 : 57,978.24 = 12,005.76 : x
  2. Step 2: Convert to fraction form
    38,663.04/57,978.24 = 12,005.76/x
  3. Step 3: Cross multiply
    38,663.04x = 57,978.24 × 12,005.76
  4. Step 4: Simplify right side
    38,663.04x = 696,072,834.66
  5. Step 5: Solve for x
    x = 696,072,834.66/38,663.04
  6. Step 6: Final answer
    x = 18,003.57

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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.