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Finding the Fourth Proportional to 8,306, 12,459 and 3,114.32

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Solution

The fourth proportional to 8,306, 12,459 and 3,114.32 is: 4,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306 : 12,459 = 3,114.32 : x
  2. Step 2: Convert to fraction form
    8,306/12,459 = 3,114.32/x
  3. Step 3: Cross multiply
    8,306x = 12,459 × 3,114.32
  4. Step 4: Simplify right side
    8,306x = 38,801,312.88
  5. Step 5: Solve for x
    x = 38,801,312.88/8,306
  6. Step 6: Final answer
    x = 4,671.48

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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.