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Finding the Fourth Proportional to 5,244.99, 7,867.76 and 1,687.40

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Solution

The fourth proportional to 5,244.99, 7,867.76 and 1,687.40 is: 2,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.99 : 7,867.76 = 1,687.40 : x
  2. Step 2: Convert to fraction form
    5,244.99/7,867.76 = 1,687.40/x
  3. Step 3: Cross multiply
    5,244.99x = 7,867.76 × 1,687.40
  4. Step 4: Simplify right side
    5,244.99x = 13,276,058.22
  5. Step 5: Solve for x
    x = 13,276,058.22/5,244.99
  6. Step 6: Final answer
    x = 2,531.19

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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.