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Finding the Fourth Proportional to 2,280.64, 3,416.64 and 1,127.20

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Solution

The fourth proportional to 2,280.64, 3,416.64 and 1,127.20 is: 1,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.64 : 3,416.64 = 1,127.20 : x
  2. Step 2: Convert to fraction form
    2,280.64/3,416.64 = 1,127.20/x
  3. Step 3: Cross multiply
    2,280.64x = 3,416.64 × 1,127.20
  4. Step 4: Simplify right side
    2,280.64x = 3,851,236.61
  5. Step 5: Solve for x
    x = 3,851,236.61/2,280.64
  6. Step 6: Final answer
    x = 1,688.66

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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.