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Finding the Fourth Proportional to 12,564.60, 18,824.70 and 7,624.20

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Solution

The fourth proportional to 12,564.60, 18,824.70 and 7,624.20 is: 11,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.60 : 18,824.70 = 7,624.20 : x
  2. Step 2: Convert to fraction form
    12,564.60/18,824.70 = 7,624.20/x
  3. Step 3: Cross multiply
    12,564.60x = 18,824.70 × 7,624.20
  4. Step 4: Simplify right side
    12,564.60x = 143,523,277.74
  5. Step 5: Solve for x
    x = 143,523,277.74/12,564.60
  6. Step 6: Final answer
    x = 11,422.83

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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.