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Finding the Fourth Proportional to 3,543.92, 5,315.40 and 947.04

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Solution

The fourth proportional to 3,543.92, 5,315.40 and 947.04 is: 1,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.92 : 5,315.40 = 947.04 : x
  2. Step 2: Convert to fraction form
    3,543.92/5,315.40 = 947.04/x
  3. Step 3: Cross multiply
    3,543.92x = 5,315.40 × 947.04
  4. Step 4: Simplify right side
    3,543.92x = 5,033,896.42
  5. Step 5: Solve for x
    x = 5,033,896.42/3,543.92
  6. Step 6: Final answer
    x = 1,420.43

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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.