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Finding the Fourth Proportional to 8,687.84, 13,001 and 5,402.48

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Solution

The fourth proportional to 8,687.84, 13,001 and 5,402.48 is: 8,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.84 : 13,001 = 5,402.48 : x
  2. Step 2: Convert to fraction form
    8,687.84/13,001 = 5,402.48/x
  3. Step 3: Cross multiply
    8,687.84x = 13,001 × 5,402.48
  4. Step 4: Simplify right side
    8,687.84x = 70,237,642.48
  5. Step 5: Solve for x
    x = 70,237,642.48/8,687.84
  6. Step 6: Final answer
    x = 8,084.59

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1.5x scale

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.