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Finding the Fourth Proportional to 31,602.78, 47,404.35 and 10,542.77

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Solution

The fourth proportional to 31,602.78, 47,404.35 and 10,542.77 is: 15,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.78 : 47,404.35 = 10,542.77 : x
  2. Step 2: Convert to fraction form
    31,602.78/47,404.35 = 10,542.77/x
  3. Step 3: Cross multiply
    31,602.78x = 47,404.35 × 10,542.77
  4. Step 4: Simplify right side
    31,602.78x = 499,772,922.03
  5. Step 5: Solve for x
    x = 499,772,922.03/31,602.78
  6. Step 6: Final answer
    x = 15,814.21

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1.5x scale

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.