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Finding the Fourth Proportional to 8,312, 12,473.64 and 3,118.16

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Solution

The fourth proportional to 8,312, 12,473.64 and 3,118.16 is: 4,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 12,473.64 = 3,118.16 : x
  2. Step 2: Convert to fraction form
    8,312/12,473.64 = 3,118.16/x
  3. Step 3: Cross multiply
    8,312x = 12,473.64 × 3,118.16
  4. Step 4: Simplify right side
    8,312x = 38,894,805.30
  5. Step 5: Solve for x
    x = 38,894,805.30/8,312
  6. Step 6: Final answer
    x = 4,679.36

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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.