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Finding the Fourth Proportional to 8,312.14, 12,457.44 and 3,376

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Solution

The fourth proportional to 8,312.14, 12,457.44 and 3,376 is: 5,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.14 : 12,457.44 = 3,376 : x
  2. Step 2: Convert to fraction form
    8,312.14/12,457.44 = 3,376/x
  3. Step 3: Cross multiply
    8,312.14x = 12,457.44 × 3,376
  4. Step 4: Simplify right side
    8,312.14x = 42,056,317.44
  5. Step 5: Solve for x
    x = 42,056,317.44/8,312.14
  6. Step 6: Final answer
    x = 5,059.63

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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.