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Finding the Fourth Proportional to 13,978.65, 20,981.16 and 5,102.58

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Solution

The fourth proportional to 13,978.65, 20,981.16 and 5,102.58 is: 7,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.65 : 20,981.16 = 5,102.58 : x
  2. Step 2: Convert to fraction form
    13,978.65/20,981.16 = 5,102.58/x
  3. Step 3: Cross multiply
    13,978.65x = 20,981.16 × 5,102.58
  4. Step 4: Simplify right side
    13,978.65x = 107,058,047.39
  5. Step 5: Solve for x
    x = 107,058,047.39/13,978.65
  6. Step 6: Final answer
    x = 7,658.68

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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.