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Finding the Fourth Proportional to 34,498, 47,613 and 20,354.32

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Solution

The fourth proportional to 34,498, 47,613 and 20,354.32 is: 28,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,498 : 47,613 = 20,354.32 : x
  2. Step 2: Convert to fraction form
    34,498/47,613 = 20,354.32/x
  3. Step 3: Cross multiply
    34,498x = 47,613 × 20,354.32
  4. Step 4: Simplify right side
    34,498x = 969,130,238.16
  5. Step 5: Solve for x
    x = 969,130,238.16/34,498
  6. Step 6: Final answer
    x = 28,092.36

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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.