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Finding the Fourth Proportional to 9,626.80, 13,285.92 and 5,849.14

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Solution

The fourth proportional to 9,626.80, 13,285.92 and 5,849.14 is: 8,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.80 : 13,285.92 = 5,849.14 : x
  2. Step 2: Convert to fraction form
    9,626.80/13,285.92 = 5,849.14/x
  3. Step 3: Cross multiply
    9,626.80x = 13,285.92 × 5,849.14
  4. Step 4: Simplify right side
    9,626.80x = 77,711,206.11
  5. Step 5: Solve for x
    x = 77,711,206.11/9,626.80
  6. Step 6: Final answer
    x = 8,072.38

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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.