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Finding the Fourth Proportional to 41,152.89, 61,728.89 and 9,988.14

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Solution

The fourth proportional to 41,152.89, 61,728.89 and 9,988.14 is: 14,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,152.89 : 61,728.89 = 9,988.14 : x
  2. Step 2: Convert to fraction form
    41,152.89/61,728.89 = 9,988.14/x
  3. Step 3: Cross multiply
    41,152.89x = 61,728.89 × 9,988.14
  4. Step 4: Simplify right side
    41,152.89x = 616,556,745.42
  5. Step 5: Solve for x
    x = 616,556,745.42/41,152.89
  6. Step 6: Final answer
    x = 14,982.10

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1.5x scale

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.