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Finding the Fourth Proportional to 15,120, 22,680 and 14,225.76

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Solution

The fourth proportional to 15,120, 22,680 and 14,225.76 is: 21,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120 : 22,680 = 14,225.76 : x
  2. Step 2: Convert to fraction form
    15,120/22,680 = 14,225.76/x
  3. Step 3: Cross multiply
    15,120x = 22,680 × 14,225.76
  4. Step 4: Simplify right side
    15,120x = 322,640,236.80
  5. Step 5: Solve for x
    x = 322,640,236.80/15,120
  6. Step 6: Final answer
    x = 21,338.64

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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.