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Finding the Fourth Proportional to 5,747.60, 8,621.64 and 3,434

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Solution

The fourth proportional to 5,747.60, 8,621.64 and 3,434 is: 5,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.60 : 8,621.64 = 3,434 : x
  2. Step 2: Convert to fraction form
    5,747.60/8,621.64 = 3,434/x
  3. Step 3: Cross multiply
    5,747.60x = 8,621.64 × 3,434
  4. Step 4: Simplify right side
    5,747.60x = 29,606,711.76
  5. Step 5: Solve for x
    x = 29,606,711.76/5,747.60
  6. Step 6: Final answer
    x = 5,151.14

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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.