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Finding the Fourth Proportional to 31,807.10, 47,710.65 and 8,114.60

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Solution

The fourth proportional to 31,807.10, 47,710.65 and 8,114.60 is: 12,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.10 : 47,710.65 = 8,114.60 : x
  2. Step 2: Convert to fraction form
    31,807.10/47,710.65 = 8,114.60/x
  3. Step 3: Cross multiply
    31,807.10x = 47,710.65 × 8,114.60
  4. Step 4: Simplify right side
    31,807.10x = 387,152,840.49
  5. Step 5: Solve for x
    x = 387,152,840.49/31,807.10
  6. Step 6: Final answer
    x = 12,171.90

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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.