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Finding the Fourth Proportional to 20,902.44, 28,842.80 and 11,470.80

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Solution

The fourth proportional to 20,902.44, 28,842.80 and 11,470.80 is: 15,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.44 : 28,842.80 = 11,470.80 : x
  2. Step 2: Convert to fraction form
    20,902.44/28,842.80 = 11,470.80/x
  3. Step 3: Cross multiply
    20,902.44x = 28,842.80 × 11,470.80
  4. Step 4: Simplify right side
    20,902.44x = 330,849,990.24
  5. Step 5: Solve for x
    x = 330,849,990.24/20,902.44
  6. Step 6: Final answer
    x = 15,828.30

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1.5x scale

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.