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Finding the Fourth Proportional to 6,486.34, 9,711.14 and 5,042.38

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Solution

The fourth proportional to 6,486.34, 9,711.14 and 5,042.38 is: 7,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.34 : 9,711.14 = 5,042.38 : x
  2. Step 2: Convert to fraction form
    6,486.34/9,711.14 = 5,042.38/x
  3. Step 3: Cross multiply
    6,486.34x = 9,711.14 × 5,042.38
  4. Step 4: Simplify right side
    6,486.34x = 48,967,258.11
  5. Step 5: Solve for x
    x = 48,967,258.11/6,486.34
  6. Step 6: Final answer
    x = 7,549.29

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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.