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Finding the Fourth Proportional to 9,158.40, 13,739.40 and 3,314.88

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Solution

The fourth proportional to 9,158.40, 13,739.40 and 3,314.88 is: 4,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.40 : 13,739.40 = 3,314.88 : x
  2. Step 2: Convert to fraction form
    9,158.40/13,739.40 = 3,314.88/x
  3. Step 3: Cross multiply
    9,158.40x = 13,739.40 × 3,314.88
  4. Step 4: Simplify right side
    9,158.40x = 45,544,462.27
  5. Step 5: Solve for x
    x = 45,544,462.27/9,158.40
  6. Step 6: Final answer
    x = 4,972.97

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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.