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Finding the Fourth Proportional to 30,758.40, 42,397.44 and 29,376

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Solution

The fourth proportional to 30,758.40, 42,397.44 and 29,376 is: 40,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.40 : 42,397.44 = 29,376 : x
  2. Step 2: Convert to fraction form
    30,758.40/42,397.44 = 29,376/x
  3. Step 3: Cross multiply
    30,758.40x = 42,397.44 × 29,376
  4. Step 4: Simplify right side
    30,758.40x = 1,245,467,197.44
  5. Step 5: Solve for x
    x = 1,245,467,197.44/30,758.40
  6. Step 6: Final answer
    x = 40,491.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.