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Finding the Fourth Proportional to 13,978.68, 20,981.76 and 10,270.48

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Solution

The fourth proportional to 13,978.68, 20,981.76 and 10,270.48 is: 15,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.68 : 20,981.76 = 10,270.48 : x
  2. Step 2: Convert to fraction form
    13,978.68/20,981.76 = 10,270.48/x
  3. Step 3: Cross multiply
    13,978.68x = 20,981.76 × 10,270.48
  4. Step 4: Simplify right side
    13,978.68x = 215,492,746.44
  5. Step 5: Solve for x
    x = 215,492,746.44/13,978.68
  6. Step 6: Final answer
    x = 15,415.82

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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.