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Finding the Fourth Proportional to 2,690, 3,712.20 and 1,586

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Solution

The fourth proportional to 2,690, 3,712.20 and 1,586 is: 2,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690 : 3,712.20 = 1,586 : x
  2. Step 2: Convert to fraction form
    2,690/3,712.20 = 1,586/x
  3. Step 3: Cross multiply
    2,690x = 3,712.20 × 1,586
  4. Step 4: Simplify right side
    2,690x = 5,887,549.20
  5. Step 5: Solve for x
    x = 5,887,549.20/2,690
  6. Step 6: Final answer
    x = 2,188.68

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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.