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Finding the Fourth Proportional to 10,724.80, 16,098.08 and 7,808.80

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Solution

The fourth proportional to 10,724.80, 16,098.08 and 7,808.80 is: 11,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.80 : 16,098.08 = 7,808.80 : x
  2. Step 2: Convert to fraction form
    10,724.80/16,098.08 = 7,808.80/x
  3. Step 3: Cross multiply
    10,724.80x = 16,098.08 × 7,808.80
  4. Step 4: Simplify right side
    10,724.80x = 125,706,687.10
  5. Step 5: Solve for x
    x = 125,706,687.10/10,724.80
  6. Step 6: Final answer
    x = 11,721.12

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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.