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Finding the Fourth Proportional to 2,647.56, 3,970.48 and 2,475

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Solution

The fourth proportional to 2,647.56, 3,970.48 and 2,475 is: 3,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.56 : 3,970.48 = 2,475 : x
  2. Step 2: Convert to fraction form
    2,647.56/3,970.48 = 2,475/x
  3. Step 3: Cross multiply
    2,647.56x = 3,970.48 × 2,475
  4. Step 4: Simplify right side
    2,647.56x = 9,826,938
  5. Step 5: Solve for x
    x = 9,826,938/2,647.56
  6. Step 6: Final answer
    x = 3,711.70

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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.