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Finding the Fourth Proportional to 1,127.54, 1,682.00 and 1,080.87

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Solution

The fourth proportional to 1,127.54, 1,682.00 and 1,080.87 is: 1,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.54 : 1,682.00 = 1,080.87 : x
  2. Step 2: Convert to fraction form
    1,127.54/1,682.00 = 1,080.87/x
  3. Step 3: Cross multiply
    1,127.54x = 1,682.00 × 1,080.87
  4. Step 4: Simplify right side
    1,127.54x = 1,818,017.94
  5. Step 5: Solve for x
    x = 1,818,017.94/1,127.54
  6. Step 6: Final answer
    x = 1,612.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.