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Finding the Fourth Proportional to 7,031.52, 10,543.86 and 2,099.43

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Solution

The fourth proportional to 7,031.52, 10,543.86 and 2,099.43 is: 3,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.52 : 10,543.86 = 2,099.43 : x
  2. Step 2: Convert to fraction form
    7,031.52/10,543.86 = 2,099.43/x
  3. Step 3: Cross multiply
    7,031.52x = 10,543.86 × 2,099.43
  4. Step 4: Simplify right side
    7,031.52x = 22,136,096.00
  5. Step 5: Solve for x
    x = 22,136,096.00/7,031.52
  6. Step 6: Final answer
    x = 3,148.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.