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Finding the Fourth Proportional to 6,543.04, 9,031.74 and 3,890.44

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Solution

The fourth proportional to 6,543.04, 9,031.74 and 3,890.44 is: 5,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.04 : 9,031.74 = 3,890.44 : x
  2. Step 2: Convert to fraction form
    6,543.04/9,031.74 = 3,890.44/x
  3. Step 3: Cross multiply
    6,543.04x = 9,031.74 × 3,890.44
  4. Step 4: Simplify right side
    6,543.04x = 35,137,412.69
  5. Step 5: Solve for x
    x = 35,137,412.69/6,543.04
  6. Step 6: Final answer
    x = 5,370.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.