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Finding the Fourth Proportional to 31,879.60, 47,813.04 and 30,298.88

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Solution

The fourth proportional to 31,879.60, 47,813.04 and 30,298.88 is: 45,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.60 : 47,813.04 = 30,298.88 : x
  2. Step 2: Convert to fraction form
    31,879.60/47,813.04 = 30,298.88/x
  3. Step 3: Cross multiply
    31,879.60x = 47,813.04 × 30,298.88
  4. Step 4: Simplify right side
    31,879.60x = 1,448,681,561.40
  5. Step 5: Solve for x
    x = 1,448,681,561.40/31,879.60
  6. Step 6: Final answer
    x = 45,442.28

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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.