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Finding the Fourth Proportional to 8,770, 13,157.28 and 2,614

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Solution

The fourth proportional to 8,770, 13,157.28 and 2,614 is: 3,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770 : 13,157.28 = 2,614 : x
  2. Step 2: Convert to fraction form
    8,770/13,157.28 = 2,614/x
  3. Step 3: Cross multiply
    8,770x = 13,157.28 × 2,614
  4. Step 4: Simplify right side
    8,770x = 34,393,129.92
  5. Step 5: Solve for x
    x = 34,393,129.92/8,770
  6. Step 6: Final answer
    x = 3,921.68

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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.