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Finding the Fourth Proportional to 8,315.16, 12,461.92 and 3,379

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Solution

The fourth proportional to 8,315.16, 12,461.92 and 3,379 is: 5,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.16 : 12,461.92 = 3,379 : x
  2. Step 2: Convert to fraction form
    8,315.16/12,461.92 = 3,379/x
  3. Step 3: Cross multiply
    8,315.16x = 12,461.92 × 3,379
  4. Step 4: Simplify right side
    8,315.16x = 42,108,827.68
  5. Step 5: Solve for x
    x = 42,108,827.68/8,315.16
  6. Step 6: Final answer
    x = 5,064.10

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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.