Home / 1,292.14-1,937.04-830.26

Finding the Fourth Proportional to 1,292.14, 1,937.04 and 830.26

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Solution

The fourth proportional to 1,292.14, 1,937.04 and 830.26 is: 1,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.14 : 1,937.04 = 830.26 : x
  2. Step 2: Convert to fraction form
    1,292.14/1,937.04 = 830.26/x
  3. Step 3: Cross multiply
    1,292.14x = 1,937.04 × 830.26
  4. Step 4: Simplify right side
    1,292.14x = 1,608,246.83
  5. Step 5: Solve for x
    x = 1,608,246.83/1,292.14
  6. Step 6: Final answer
    x = 1,244.64

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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.