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Finding the Fourth Proportional to 8,534.03, 12,806.81 and 2,987.42

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Solution

The fourth proportional to 8,534.03, 12,806.81 and 2,987.42 is: 4,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.03 : 12,806.81 = 2,987.42 : x
  2. Step 2: Convert to fraction form
    8,534.03/12,806.81 = 2,987.42/x
  3. Step 3: Cross multiply
    8,534.03x = 12,806.81 × 2,987.42
  4. Step 4: Simplify right side
    8,534.03x = 38,259,305.39
  5. Step 5: Solve for x
    x = 38,259,305.39/8,534.03
  6. Step 6: Final answer
    x = 4,483.15

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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.