Home / 1,462.24-2,017.21-840.88

Finding the Fourth Proportional to 1,462.24, 2,017.21 and 840.88

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Solution

The fourth proportional to 1,462.24, 2,017.21 and 840.88 is: 1,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.24 : 2,017.21 = 840.88 : x
  2. Step 2: Convert to fraction form
    1,462.24/2,017.21 = 840.88/x
  3. Step 3: Cross multiply
    1,462.24x = 2,017.21 × 840.88
  4. Step 4: Simplify right side
    1,462.24x = 1,696,217.25
  5. Step 5: Solve for x
    x = 1,696,217.25/1,462.24
  6. Step 6: Final answer
    x = 1,160.02

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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.