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Finding the Fourth Proportional to 1,847.76, 2,550 and 1,149.36

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Solution

The fourth proportional to 1,847.76, 2,550 and 1,149.36 is: 1,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.76 : 2,550 = 1,149.36 : x
  2. Step 2: Convert to fraction form
    1,847.76/2,550 = 1,149.36/x
  3. Step 3: Cross multiply
    1,847.76x = 2,550 × 1,149.36
  4. Step 4: Simplify right side
    1,847.76x = 2,930,868.00
  5. Step 5: Solve for x
    x = 2,930,868.00/1,847.76
  6. Step 6: Final answer
    x = 1,586.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.