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Finding the Fourth Proportional to 8,624.64, 12,878.49 and 6,849.72

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Solution

The fourth proportional to 8,624.64, 12,878.49 and 6,849.72 is: 10,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.64 : 12,878.49 = 6,849.72 : x
  2. Step 2: Convert to fraction form
    8,624.64/12,878.49 = 6,849.72/x
  3. Step 3: Cross multiply
    8,624.64x = 12,878.49 × 6,849.72
  4. Step 4: Simplify right side
    8,624.64x = 88,214,050.52
  5. Step 5: Solve for x
    x = 88,214,050.52/8,624.64
  6. Step 6: Final answer
    x = 10,228.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.