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Finding the Fourth Proportional to 8,317.64, 12,470.64 and 3,119

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Solution

The fourth proportional to 8,317.64, 12,470.64 and 3,119 is: 4,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.64 : 12,470.64 = 3,119 : x
  2. Step 2: Convert to fraction form
    8,317.64/12,470.64 = 3,119/x
  3. Step 3: Cross multiply
    8,317.64x = 12,470.64 × 3,119
  4. Step 4: Simplify right side
    8,317.64x = 38,895,926.16
  5. Step 5: Solve for x
    x = 38,895,926.16/8,317.64
  6. Step 6: Final answer
    x = 4,676.32

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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.