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Finding the Fourth Proportional to 2,462.28, 3,398.28 and 1,580.40

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Solution

The fourth proportional to 2,462.28, 3,398.28 and 1,580.40 is: 2,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.28 : 3,398.28 = 1,580.40 : x
  2. Step 2: Convert to fraction form
    2,462.28/3,398.28 = 1,580.40/x
  3. Step 3: Cross multiply
    2,462.28x = 3,398.28 × 1,580.40
  4. Step 4: Simplify right side
    2,462.28x = 5,370,641.71
  5. Step 5: Solve for x
    x = 5,370,641.71/2,462.28
  6. Step 6: Final answer
    x = 2,181.17

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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.