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Finding the Fourth Proportional to 6,543.91, 9,030.61 and 3,710.38

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Solution

The fourth proportional to 6,543.91, 9,030.61 and 3,710.38 is: 5,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.91 : 9,030.61 = 3,710.38 : x
  2. Step 2: Convert to fraction form
    6,543.91/9,030.61 = 3,710.38/x
  3. Step 3: Cross multiply
    6,543.91x = 9,030.61 × 3,710.38
  4. Step 4: Simplify right side
    6,543.91x = 33,506,998.25
  5. Step 5: Solve for x
    x = 33,506,998.25/6,543.91
  6. Step 6: Final answer
    x = 5,120.33

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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.