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Finding the Fourth Proportional to 42,938.72, 64,400.64 and 11,349.14

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Solution

The fourth proportional to 42,938.72, 64,400.64 and 11,349.14 is: 17,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,938.72 : 64,400.64 = 11,349.14 : x
  2. Step 2: Convert to fraction form
    42,938.72/64,400.64 = 11,349.14/x
  3. Step 3: Cross multiply
    42,938.72x = 64,400.64 × 11,349.14
  4. Step 4: Simplify right side
    42,938.72x = 730,891,879.45
  5. Step 5: Solve for x
    x = 730,891,879.45/42,938.72
  6. Step 6: Final answer
    x = 17,021.74

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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.