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Finding the Fourth Proportional to 2,280.78, 3,147.21 and 1,534.50

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Solution

The fourth proportional to 2,280.78, 3,147.21 and 1,534.50 is: 2,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.78 : 3,147.21 = 1,534.50 : x
  2. Step 2: Convert to fraction form
    2,280.78/3,147.21 = 1,534.50/x
  3. Step 3: Cross multiply
    2,280.78x = 3,147.21 × 1,534.50
  4. Step 4: Simplify right side
    2,280.78x = 4,829,393.75
  5. Step 5: Solve for x
    x = 4,829,393.75/2,280.78
  6. Step 6: Final answer
    x = 2,117.43

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