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Finding the Fourth Proportional to 5,275.31, 7,913.84 and 2,156.99

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Solution

The fourth proportional to 5,275.31, 7,913.84 and 2,156.99 is: 3,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.31 : 7,913.84 = 2,156.99 : x
  2. Step 2: Convert to fraction form
    5,275.31/7,913.84 = 2,156.99/x
  3. Step 3: Cross multiply
    5,275.31x = 7,913.84 × 2,156.99
  4. Step 4: Simplify right side
    5,275.31x = 17,070,023.39
  5. Step 5: Solve for x
    x = 17,070,023.39/5,275.31
  6. Step 6: Final answer
    x = 3,235.84

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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.