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Finding the Fourth Proportional to 8,242.16, 12,363 and 3,310.40

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Solution

The fourth proportional to 8,242.16, 12,363 and 3,310.40 is: 4,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.16 : 12,363 = 3,310.40 : x
  2. Step 2: Convert to fraction form
    8,242.16/12,363 = 3,310.40/x
  3. Step 3: Cross multiply
    8,242.16x = 12,363 × 3,310.40
  4. Step 4: Simplify right side
    8,242.16x = 40,926,475.20
  5. Step 5: Solve for x
    x = 40,926,475.20/8,242.16
  6. Step 6: Final answer
    x = 4,965.50

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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.