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Finding the Fourth Proportional to 10,902.84, 15,051.96 and 7,504.80

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Solution

The fourth proportional to 10,902.84, 15,051.96 and 7,504.80 is: 10,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.84 : 15,051.96 = 7,504.80 : x
  2. Step 2: Convert to fraction form
    10,902.84/15,051.96 = 7,504.80/x
  3. Step 3: Cross multiply
    10,902.84x = 15,051.96 × 7,504.80
  4. Step 4: Simplify right side
    10,902.84x = 112,961,949.41
  5. Step 5: Solve for x
    x = 112,961,949.41/10,902.84
  6. Step 6: Final answer
    x = 10,360.78

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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.