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Finding the Fourth Proportional to 10,205.16, 15,399.65 and 9,839.04

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Solution

The fourth proportional to 10,205.16, 15,399.65 and 9,839.04 is: 14,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.16 : 15,399.65 = 9,839.04 : x
  2. Step 2: Convert to fraction form
    10,205.16/15,399.65 = 9,839.04/x
  3. Step 3: Cross multiply
    10,205.16x = 15,399.65 × 9,839.04
  4. Step 4: Simplify right side
    10,205.16x = 151,517,723.14
  5. Step 5: Solve for x
    x = 151,517,723.14/10,205.16
  6. Step 6: Final answer
    x = 14,847.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.