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Finding the Fourth Proportional to 9,314.78, 13,974.14 and 2,740.42

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Solution

The fourth proportional to 9,314.78, 13,974.14 and 2,740.42 is: 4,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.78 : 13,974.14 = 2,740.42 : x
  2. Step 2: Convert to fraction form
    9,314.78/13,974.14 = 2,740.42/x
  3. Step 3: Cross multiply
    9,314.78x = 13,974.14 × 2,740.42
  4. Step 4: Simplify right side
    9,314.78x = 38,294,964.10
  5. Step 5: Solve for x
    x = 38,294,964.10/9,314.78
  6. Step 6: Final answer
    x = 4,111.20

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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.