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Finding the Fourth Proportional to 1,282.80, 1,927.80 and 1,124.40

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Solution

The fourth proportional to 1,282.80, 1,927.80 and 1,124.40 is: 1,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.80 : 1,927.80 = 1,124.40 : x
  2. Step 2: Convert to fraction form
    1,282.80/1,927.80 = 1,124.40/x
  3. Step 3: Cross multiply
    1,282.80x = 1,927.80 × 1,124.40
  4. Step 4: Simplify right side
    1,282.80x = 2,167,618.32
  5. Step 5: Solve for x
    x = 2,167,618.32/1,282.80
  6. Step 6: Final answer
    x = 1,689.76

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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.