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Finding the Fourth Proportional to 13,146.18, 19,708.20 and 5,745

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Solution

The fourth proportional to 13,146.18, 19,708.20 and 5,745 is: 8,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.18 : 19,708.20 = 5,745 : x
  2. Step 2: Convert to fraction form
    13,146.18/19,708.20 = 5,745/x
  3. Step 3: Cross multiply
    13,146.18x = 19,708.20 × 5,745
  4. Step 4: Simplify right side
    13,146.18x = 113,223,609
  5. Step 5: Solve for x
    x = 113,223,609/13,146.18
  6. Step 6: Final answer
    x = 8,612.66

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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.