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Finding the Fourth Proportional to 8,302.06, 12,454 and 4,143.12

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Solution

The fourth proportional to 8,302.06, 12,454 and 4,143.12 is: 6,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.06 : 12,454 = 4,143.12 : x
  2. Step 2: Convert to fraction form
    8,302.06/12,454 = 4,143.12/x
  3. Step 3: Cross multiply
    8,302.06x = 12,454 × 4,143.12
  4. Step 4: Simplify right side
    8,302.06x = 51,598,354.21
  5. Step 5: Solve for x
    x = 51,598,354.21/8,302.06
  6. Step 6: Final answer
    x = 6,215.13

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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.