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Finding the Fourth Proportional to 8,370.64, 12,558.99 and 3,176.50

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Solution

The fourth proportional to 8,370.64, 12,558.99 and 3,176.50 is: 4,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.64 : 12,558.99 = 3,176.50 : x
  2. Step 2: Convert to fraction form
    8,370.64/12,558.99 = 3,176.50/x
  3. Step 3: Cross multiply
    8,370.64x = 12,558.99 × 3,176.50
  4. Step 4: Simplify right side
    8,370.64x = 39,893,631.74
  5. Step 5: Solve for x
    x = 39,893,631.74/8,370.64
  6. Step 6: Final answer
    x = 4,765.90

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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.