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Finding the Fourth Proportional to 7,647.80, 11,470.44 and 2,453

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Solution

The fourth proportional to 7,647.80, 11,470.44 and 2,453 is: 3,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.80 : 11,470.44 = 2,453 : x
  2. Step 2: Convert to fraction form
    7,647.80/11,470.44 = 2,453/x
  3. Step 3: Cross multiply
    7,647.80x = 11,470.44 × 2,453
  4. Step 4: Simplify right side
    7,647.80x = 28,136,989.32
  5. Step 5: Solve for x
    x = 28,136,989.32/7,647.80
  6. Step 6: Final answer
    x = 3,679.10

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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.