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Finding the Fourth Proportional to 8,624.64, 12,937.02 and 3,430.52

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Solution

The fourth proportional to 8,624.64, 12,937.02 and 3,430.52 is: 5,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.64 : 12,937.02 = 3,430.52 : x
  2. Step 2: Convert to fraction form
    8,624.64/12,937.02 = 3,430.52/x
  3. Step 3: Cross multiply
    8,624.64x = 12,937.02 × 3,430.52
  4. Step 4: Simplify right side
    8,624.64x = 44,380,705.85
  5. Step 5: Solve for x
    x = 44,380,705.85/8,624.64
  6. Step 6: Final answer
    x = 5,145.80

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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.