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Finding the Fourth Proportional to 7,009.92, 10,505.16 and 3,543.12

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Solution

The fourth proportional to 7,009.92, 10,505.16 and 3,543.12 is: 5,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.92 : 10,505.16 = 3,543.12 : x
  2. Step 2: Convert to fraction form
    7,009.92/10,505.16 = 3,543.12/x
  3. Step 3: Cross multiply
    7,009.92x = 10,505.16 × 3,543.12
  4. Step 4: Simplify right side
    7,009.92x = 37,221,042.50
  5. Step 5: Solve for x
    x = 37,221,042.50/7,009.92
  6. Step 6: Final answer
    x = 5,309.77

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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.