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Finding the Fourth Proportional to 20,656.19, 30,978.74 and 8,966.63

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Solution

The fourth proportional to 20,656.19, 30,978.74 and 8,966.63 is: 13,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,656.19 : 30,978.74 = 8,966.63 : x
  2. Step 2: Convert to fraction form
    20,656.19/30,978.74 = 8,966.63/x
  3. Step 3: Cross multiply
    20,656.19x = 30,978.74 × 8,966.63
  4. Step 4: Simplify right side
    20,656.19x = 277,774,766.97
  5. Step 5: Solve for x
    x = 277,774,766.97/20,656.19
  6. Step 6: Final answer
    x = 13,447.53

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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.