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Finding the Fourth Proportional to 5,378.52, 8,070.96 and 2,913.28

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Solution

The fourth proportional to 5,378.52, 8,070.96 and 2,913.28 is: 4,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.52 : 8,070.96 = 2,913.28 : x
  2. Step 2: Convert to fraction form
    5,378.52/8,070.96 = 2,913.28/x
  3. Step 3: Cross multiply
    5,378.52x = 8,070.96 × 2,913.28
  4. Step 4: Simplify right side
    5,378.52x = 23,512,966.35
  5. Step 5: Solve for x
    x = 23,512,966.35/5,378.52
  6. Step 6: Final answer
    x = 4,371.64

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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.