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Finding the Fourth Proportional to 30,424.65, 45,633.52 and 8,239.76

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Solution

The fourth proportional to 30,424.65, 45,633.52 and 8,239.76 is: 12,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424.65 : 45,633.52 = 8,239.76 : x
  2. Step 2: Convert to fraction form
    30,424.65/45,633.52 = 8,239.76/x
  3. Step 3: Cross multiply
    30,424.65x = 45,633.52 × 8,239.76
  4. Step 4: Simplify right side
    30,424.65x = 376,008,983.39
  5. Step 5: Solve for x
    x = 376,008,983.39/30,424.65
  6. Step 6: Final answer
    x = 12,358.70

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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.