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Finding the Fourth Proportional to 5,313, 7,972.38 and 2,577

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Solution

The fourth proportional to 5,313, 7,972.38 and 2,577 is: 3,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313 : 7,972.38 = 2,577 : x
  2. Step 2: Convert to fraction form
    5,313/7,972.38 = 2,577/x
  3. Step 3: Cross multiply
    5,313x = 7,972.38 × 2,577
  4. Step 4: Simplify right side
    5,313x = 20,544,823.26
  5. Step 5: Solve for x
    x = 20,544,823.26/5,313
  6. Step 6: Final answer
    x = 3,866.90

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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.