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Finding the Fourth Proportional to 14,978.40, 20,669.10 and 8,689.56

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Solution

The fourth proportional to 14,978.40, 20,669.10 and 8,689.56 is: 11,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.40 : 20,669.10 = 8,689.56 : x
  2. Step 2: Convert to fraction form
    14,978.40/20,669.10 = 8,689.56/x
  3. Step 3: Cross multiply
    14,978.40x = 20,669.10 × 8,689.56
  4. Step 4: Simplify right side
    14,978.40x = 179,605,384.60
  5. Step 5: Solve for x
    x = 179,605,384.60/14,978.40
  6. Step 6: Final answer
    x = 11,990.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.