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Finding the Fourth Proportional to 13,407.66, 20,113.14 and 5,616.54

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Solution

The fourth proportional to 13,407.66, 20,113.14 and 5,616.54 is: 8,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.66 : 20,113.14 = 5,616.54 : x
  2. Step 2: Convert to fraction form
    13,407.66/20,113.14 = 5,616.54/x
  3. Step 3: Cross multiply
    13,407.66x = 20,113.14 × 5,616.54
  4. Step 4: Simplify right side
    13,407.66x = 112,966,255.34
  5. Step 5: Solve for x
    x = 112,966,255.34/13,407.66
  6. Step 6: Final answer
    x = 8,425.50

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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.