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Finding the Fourth Proportional to 47,387.68, 65,387.80 and 31,495.48

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Solution

The fourth proportional to 47,387.68, 65,387.80 and 31,495.48 is: 43,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,387.68 : 65,387.80 = 31,495.48 : x
  2. Step 2: Convert to fraction form
    47,387.68/65,387.80 = 31,495.48/x
  3. Step 3: Cross multiply
    47,387.68x = 65,387.80 × 31,495.48
  4. Step 4: Simplify right side
    47,387.68x = 2,059,420,147.14
  5. Step 5: Solve for x
    x = 2,059,420,147.14/47,387.68
  6. Step 6: Final answer
    x = 43,458.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.