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Finding the Fourth Proportional to 6,543.38, 9,030.68 and 3,748.88

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Solution

The fourth proportional to 6,543.38, 9,030.68 and 3,748.88 is: 5,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.38 : 9,030.68 = 3,748.88 : x
  2. Step 2: Convert to fraction form
    6,543.38/9,030.68 = 3,748.88/x
  3. Step 3: Cross multiply
    6,543.38x = 9,030.68 × 3,748.88
  4. Step 4: Simplify right side
    6,543.38x = 33,854,935.64
  5. Step 5: Solve for x
    x = 33,854,935.64/6,543.38
  6. Step 6: Final answer
    x = 5,173.92

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1.5x scale

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.