Home / 1,417.62-2,122.86-896.04

Finding the Fourth Proportional to 1,417.62, 2,122.86 and 896.04

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Solution

The fourth proportional to 1,417.62, 2,122.86 and 896.04 is: 1,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.62 : 2,122.86 = 896.04 : x
  2. Step 2: Convert to fraction form
    1,417.62/2,122.86 = 896.04/x
  3. Step 3: Cross multiply
    1,417.62x = 2,122.86 × 896.04
  4. Step 4: Simplify right side
    1,417.62x = 1,902,167.47
  5. Step 5: Solve for x
    x = 1,902,167.47/1,417.62
  6. Step 6: Final answer
    x = 1,341.80

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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.