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Finding the Fourth Proportional to 30,411.72, 45,624.34 and 9,353.88

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Solution

The fourth proportional to 30,411.72, 45,624.34 and 9,353.88 is: 14,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.72 : 45,624.34 = 9,353.88 : x
  2. Step 2: Convert to fraction form
    30,411.72/45,624.34 = 9,353.88/x
  3. Step 3: Cross multiply
    30,411.72x = 45,624.34 × 9,353.88
  4. Step 4: Simplify right side
    30,411.72x = 426,764,601.44
  5. Step 5: Solve for x
    x = 426,764,601.44/30,411.72
  6. Step 6: Final answer
    x = 14,032.90

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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.