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Finding the Fourth Proportional to 40,897, 61,342.08 and 11,315.20

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Solution

The fourth proportional to 40,897, 61,342.08 and 11,315.20 is: 16,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,897 : 61,342.08 = 11,315.20 : x
  2. Step 2: Convert to fraction form
    40,897/61,342.08 = 11,315.20/x
  3. Step 3: Cross multiply
    40,897x = 61,342.08 × 11,315.20
  4. Step 4: Simplify right side
    40,897x = 694,097,903.62
  5. Step 5: Solve for x
    x = 694,097,903.62/40,897
  6. Step 6: Final answer
    x = 16,971.85

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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.