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Finding the Fourth Proportional to 12,932.55, 17,842.47 and 8,400.90

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Solution

The fourth proportional to 12,932.55, 17,842.47 and 8,400.90 is: 11,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.55 : 17,842.47 = 8,400.90 : x
  2. Step 2: Convert to fraction form
    12,932.55/17,842.47 = 8,400.90/x
  3. Step 3: Cross multiply
    12,932.55x = 17,842.47 × 8,400.90
  4. Step 4: Simplify right side
    12,932.55x = 149,892,806.22
  5. Step 5: Solve for x
    x = 149,892,806.22/12,932.55
  6. Step 6: Final answer
    x = 11,590.35

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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.