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Finding the Fourth Proportional to 30,438, 45,520.08 and 23,323.92

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Solution

The fourth proportional to 30,438, 45,520.08 and 23,323.92 is: 34,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 45,520.08 = 23,323.92 : x
  2. Step 2: Convert to fraction form
    30,438/45,520.08 = 23,323.92/x
  3. Step 3: Cross multiply
    30,438x = 45,520.08 × 23,323.92
  4. Step 4: Simplify right side
    30,438x = 1,061,706,704.31
  5. Step 5: Solve for x
    x = 1,061,706,704.31/30,438
  6. Step 6: Final answer
    x = 34,880.96

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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.