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Finding the Fourth Proportional to 10,170.56, 15,182.56 and 8,858

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Solution

The fourth proportional to 10,170.56, 15,182.56 and 8,858 is: 13,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.56 : 15,182.56 = 8,858 : x
  2. Step 2: Convert to fraction form
    10,170.56/15,182.56 = 8,858/x
  3. Step 3: Cross multiply
    10,170.56x = 15,182.56 × 8,858
  4. Step 4: Simplify right side
    10,170.56x = 134,487,116.48
  5. Step 5: Solve for x
    x = 134,487,116.48/10,170.56
  6. Step 6: Final answer
    x = 13,223.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.