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Finding the Fourth Proportional to 10,954.78, 15,117.99 and 6,482.38

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Solution

The fourth proportional to 10,954.78, 15,117.99 and 6,482.38 is: 8,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.78 : 15,117.99 = 6,482.38 : x
  2. Step 2: Convert to fraction form
    10,954.78/15,117.99 = 6,482.38/x
  3. Step 3: Cross multiply
    10,954.78x = 15,117.99 × 6,482.38
  4. Step 4: Simplify right side
    10,954.78x = 98,000,556.02
  5. Step 5: Solve for x
    x = 98,000,556.02/10,954.78
  6. Step 6: Final answer
    x = 8,945.92

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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.