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Finding the Fourth Proportional to 9,145.40, 13,718.10 and 6,375.20

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Solution

The fourth proportional to 9,145.40, 13,718.10 and 6,375.20 is: 9,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.40 : 13,718.10 = 6,375.20 : x
  2. Step 2: Convert to fraction form
    9,145.40/13,718.10 = 6,375.20/x
  3. Step 3: Cross multiply
    9,145.40x = 13,718.10 × 6,375.20
  4. Step 4: Simplify right side
    9,145.40x = 87,455,631.12
  5. Step 5: Solve for x
    x = 87,455,631.12/9,145.40
  6. Step 6: Final answer
    x = 9,562.80

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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.