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Finding the Fourth Proportional to 13,913.98, 20,862.18 and 7,678.34

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Solution

The fourth proportional to 13,913.98, 20,862.18 and 7,678.34 is: 11,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.98 : 20,862.18 = 7,678.34 : x
  2. Step 2: Convert to fraction form
    13,913.98/20,862.18 = 7,678.34/x
  3. Step 3: Cross multiply
    13,913.98x = 20,862.18 × 7,678.34
  4. Step 4: Simplify right side
    13,913.98x = 160,186,911.18
  5. Step 5: Solve for x
    x = 160,186,911.18/13,913.98
  6. Step 6: Final answer
    x = 11,512.66

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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.