Home / 1,292.16-1,781.76-942.72

Finding the Fourth Proportional to 1,292.16, 1,781.76 and 942.72

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Solution

The fourth proportional to 1,292.16, 1,781.76 and 942.72 is: 1,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.16 : 1,781.76 = 942.72 : x
  2. Step 2: Convert to fraction form
    1,292.16/1,781.76 = 942.72/x
  3. Step 3: Cross multiply
    1,292.16x = 1,781.76 × 942.72
  4. Step 4: Simplify right side
    1,292.16x = 1,679,700.79
  5. Step 5: Solve for x
    x = 1,679,700.79/1,292.16
  6. Step 6: Final answer
    x = 1,299.92

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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.