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Finding the Fourth Proportional to 10,350, 14,286.60 and 6,158.16

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Solution

The fourth proportional to 10,350, 14,286.60 and 6,158.16 is: 8,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350 : 14,286.60 = 6,158.16 : x
  2. Step 2: Convert to fraction form
    10,350/14,286.60 = 6,158.16/x
  3. Step 3: Cross multiply
    10,350x = 14,286.60 × 6,158.16
  4. Step 4: Simplify right side
    10,350x = 87,979,168.66
  5. Step 5: Solve for x
    x = 87,979,168.66/10,350
  6. Step 6: Final answer
    x = 8,500.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.