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Finding the Fourth Proportional to 10,632, 15,942.68 and 6,191.12

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Solution

The fourth proportional to 10,632, 15,942.68 and 6,191.12 is: 9,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632 : 15,942.68 = 6,191.12 : x
  2. Step 2: Convert to fraction form
    10,632/15,942.68 = 6,191.12/x
  3. Step 3: Cross multiply
    10,632x = 15,942.68 × 6,191.12
  4. Step 4: Simplify right side
    10,632x = 98,703,045.00
  5. Step 5: Solve for x
    x = 98,703,045.00/10,632
  6. Step 6: Final answer
    x = 9,283.58

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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.