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Finding the Fourth Proportional to 31,595.52, 47,404.80 and 10,821.12

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Solution

The fourth proportional to 31,595.52, 47,404.80 and 10,821.12 is: 16,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.52 : 47,404.80 = 10,821.12 : x
  2. Step 2: Convert to fraction form
    31,595.52/47,404.80 = 10,821.12/x
  3. Step 3: Cross multiply
    31,595.52x = 47,404.80 × 10,821.12
  4. Step 4: Simplify right side
    31,595.52x = 512,973,029.38
  5. Step 5: Solve for x
    x = 512,973,029.38/31,595.52
  6. Step 6: Final answer
    x = 16,235.63

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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.