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Finding the Fourth Proportional to 7,988.75, 11,902.84 and 7,541.63

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Solution

The fourth proportional to 7,988.75, 11,902.84 and 7,541.63 is: 11,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.75 : 11,902.84 = 7,541.63 : x
  2. Step 2: Convert to fraction form
    7,988.75/11,902.84 = 7,541.63/x
  3. Step 3: Cross multiply
    7,988.75x = 11,902.84 × 7,541.63
  4. Step 4: Simplify right side
    7,988.75x = 89,766,815.23
  5. Step 5: Solve for x
    x = 89,766,815.23/7,988.75
  6. Step 6: Final answer
    x = 11,236.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.