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Finding the Fourth Proportional to 1,292.34, 1,784.88 and 1,001.15

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Solution

The fourth proportional to 1,292.34, 1,784.88 and 1,001.15 is: 1,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.34 : 1,784.88 = 1,001.15 : x
  2. Step 2: Convert to fraction form
    1,292.34/1,784.88 = 1,001.15/x
  3. Step 3: Cross multiply
    1,292.34x = 1,784.88 × 1,001.15
  4. Step 4: Simplify right side
    1,292.34x = 1,786,923.69
  5. Step 5: Solve for x
    x = 1,786,923.69/1,292.34
  6. Step 6: Final answer
    x = 1,382.70

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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.