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Finding the Fourth Proportional to 31,520, 47,280.64 and 9,632

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Solution

The fourth proportional to 31,520, 47,280.64 and 9,632 is: 14,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520 : 47,280.64 = 9,632 : x
  2. Step 2: Convert to fraction form
    31,520/47,280.64 = 9,632/x
  3. Step 3: Cross multiply
    31,520x = 47,280.64 × 9,632
  4. Step 4: Simplify right side
    31,520x = 455,407,124.48
  5. Step 5: Solve for x
    x = 455,407,124.48/31,520
  6. Step 6: Final answer
    x = 14,448.20

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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.