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Finding the Fourth Proportional to 8,739, 13,110.72 and 2,583

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Solution

The fourth proportional to 8,739, 13,110.72 and 2,583 is: 3,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739 : 13,110.72 = 2,583 : x
  2. Step 2: Convert to fraction form
    8,739/13,110.72 = 2,583/x
  3. Step 3: Cross multiply
    8,739x = 13,110.72 × 2,583
  4. Step 4: Simplify right side
    8,739x = 33,864,989.76
  5. Step 5: Solve for x
    x = 33,864,989.76/8,739
  6. Step 6: Final answer
    x = 3,875.16

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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.