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Finding the Fourth Proportional to 8,624.64, 12,936.69 and 2,385.03

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Solution

The fourth proportional to 8,624.64, 12,936.69 and 2,385.03 is: 3,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.64 : 12,936.69 = 2,385.03 : x
  2. Step 2: Convert to fraction form
    8,624.64/12,936.69 = 2,385.03/x
  3. Step 3: Cross multiply
    8,624.64x = 12,936.69 × 2,385.03
  4. Step 4: Simplify right side
    8,624.64x = 30,854,393.75
  5. Step 5: Solve for x
    x = 30,854,393.75/8,624.64
  6. Step 6: Final answer
    x = 3,577.47

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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.