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Finding the Fourth Proportional to 30,488.35, 45,737.47 and 9,423.47

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Solution

The fourth proportional to 30,488.35, 45,737.47 and 9,423.47 is: 14,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.35 : 45,737.47 = 9,423.47 : x
  2. Step 2: Convert to fraction form
    30,488.35/45,737.47 = 9,423.47/x
  3. Step 3: Cross multiply
    30,488.35x = 45,737.47 × 9,423.47
  4. Step 4: Simplify right side
    30,488.35x = 431,005,676.42
  5. Step 5: Solve for x
    x = 431,005,676.42/30,488.35
  6. Step 6: Final answer
    x = 14,136.73

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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.