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Finding the Fourth Proportional to 9,119.40, 13,679.10 and 6,815.40

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Solution

The fourth proportional to 9,119.40, 13,679.10 and 6,815.40 is: 10,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.40 : 13,679.10 = 6,815.40 : x
  2. Step 2: Convert to fraction form
    9,119.40/13,679.10 = 6,815.40/x
  3. Step 3: Cross multiply
    9,119.40x = 13,679.10 × 6,815.40
  4. Step 4: Simplify right side
    9,119.40x = 93,228,538.14
  5. Step 5: Solve for x
    x = 93,228,538.14/9,119.40
  6. Step 6: Final answer
    x = 10,223.10

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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.