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Finding the Fourth Proportional to 47,640.80, 71,464.64 and 12,580

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Solution

The fourth proportional to 47,640.80, 71,464.64 and 12,580 is: 18,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640.80 : 71,464.64 = 12,580 : x
  2. Step 2: Convert to fraction form
    47,640.80/71,464.64 = 12,580/x
  3. Step 3: Cross multiply
    47,640.80x = 71,464.64 × 12,580
  4. Step 4: Simplify right side
    47,640.80x = 899,025,171.20
  5. Step 5: Solve for x
    x = 899,025,171.20/47,640.80
  6. Step 6: Final answer
    x = 18,870.91

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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.