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Finding the Fourth Proportional to 9,123.90, 12,590.96 and 4,932.15

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Solution

The fourth proportional to 9,123.90, 12,590.96 and 4,932.15 is: 6,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.90 : 12,590.96 = 4,932.15 : x
  2. Step 2: Convert to fraction form
    9,123.90/12,590.96 = 4,932.15/x
  3. Step 3: Cross multiply
    9,123.90x = 12,590.96 × 4,932.15
  4. Step 4: Simplify right side
    9,123.90x = 62,100,478.70
  5. Step 5: Solve for x
    x = 62,100,478.70/9,123.90
  6. Step 6: Final answer
    x = 6,806.35

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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.