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Finding the Fourth Proportional to 8,351.64, 12,515.85 and 4,648.32

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Solution

The fourth proportional to 8,351.64, 12,515.85 and 4,648.32 is: 6,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.64 : 12,515.85 = 4,648.32 : x
  2. Step 2: Convert to fraction form
    8,351.64/12,515.85 = 4,648.32/x
  3. Step 3: Cross multiply
    8,351.64x = 12,515.85 × 4,648.32
  4. Step 4: Simplify right side
    8,351.64x = 58,177,675.87
  5. Step 5: Solve for x
    x = 58,177,675.87/8,351.64
  6. Step 6: Final answer
    x = 6,966.02

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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.