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Finding the Fourth Proportional to 31,400.64, 47,102.52 and 8,027.28

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Solution

The fourth proportional to 31,400.64, 47,102.52 and 8,027.28 is: 12,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.64 : 47,102.52 = 8,027.28 : x
  2. Step 2: Convert to fraction form
    31,400.64/47,102.52 = 8,027.28/x
  3. Step 3: Cross multiply
    31,400.64x = 47,102.52 × 8,027.28
  4. Step 4: Simplify right side
    31,400.64x = 378,105,116.75
  5. Step 5: Solve for x
    x = 378,105,116.75/31,400.64
  6. Step 6: Final answer
    x = 12,041.32

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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.