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Finding the Fourth Proportional to 1,292.49, 1,782 and 1,056.17

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Solution

The fourth proportional to 1,292.49, 1,782 and 1,056.17 is: 1,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.49 : 1,782 = 1,056.17 : x
  2. Step 2: Convert to fraction form
    1,292.49/1,782 = 1,056.17/x
  3. Step 3: Cross multiply
    1,292.49x = 1,782 × 1,056.17
  4. Step 4: Simplify right side
    1,292.49x = 1,882,099.40
  5. Step 5: Solve for x
    x = 1,882,099.40/1,292.49
  6. Step 6: Final answer
    x = 1,456.18

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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.