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Finding the Fourth Proportional to 31,874.70, 47,813.76 and 9,688.80

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Solution

The fourth proportional to 31,874.70, 47,813.76 and 9,688.80 is: 14,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.70 : 47,813.76 = 9,688.80 : x
  2. Step 2: Convert to fraction form
    31,874.70/47,813.76 = 9,688.80/x
  3. Step 3: Cross multiply
    31,874.70x = 47,813.76 × 9,688.80
  4. Step 4: Simplify right side
    31,874.70x = 463,257,957.89
  5. Step 5: Solve for x
    x = 463,257,957.89/31,874.70
  6. Step 6: Final answer
    x = 14,533.72

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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.