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Finding the Fourth Proportional to 8,103, 12,158.16 and 4,640.25

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Solution

The fourth proportional to 8,103, 12,158.16 and 4,640.25 is: 6,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103 : 12,158.16 = 4,640.25 : x
  2. Step 2: Convert to fraction form
    8,103/12,158.16 = 4,640.25/x
  3. Step 3: Cross multiply
    8,103x = 12,158.16 × 4,640.25
  4. Step 4: Simplify right side
    8,103x = 56,416,901.94
  5. Step 5: Solve for x
    x = 56,416,901.94/8,103
  6. Step 6: Final answer
    x = 6,962.47

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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.