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Finding the Fourth Proportional to 7,031.55, 10,543.23 and 2,649.36

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Solution

The fourth proportional to 7,031.55, 10,543.23 and 2,649.36 is: 3,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.55 : 10,543.23 = 2,649.36 : x
  2. Step 2: Convert to fraction form
    7,031.55/10,543.23 = 2,649.36/x
  3. Step 3: Cross multiply
    7,031.55x = 10,543.23 × 2,649.36
  4. Step 4: Simplify right side
    7,031.55x = 27,932,811.83
  5. Step 5: Solve for x
    x = 27,932,811.83/7,031.55
  6. Step 6: Final answer
    x = 3,972.50

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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.