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Finding the Fourth Proportional to 8,624.84, 12,938.48 and 2,782.76

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Solution

The fourth proportional to 8,624.84, 12,938.48 and 2,782.76 is: 4,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.84 : 12,938.48 = 2,782.76 : x
  2. Step 2: Convert to fraction form
    8,624.84/12,938.48 = 2,782.76/x
  3. Step 3: Cross multiply
    8,624.84x = 12,938.48 × 2,782.76
  4. Step 4: Simplify right side
    8,624.84x = 36,004,684.60
  5. Step 5: Solve for x
    x = 36,004,684.60/8,624.84
  6. Step 6: Final answer
    x = 4,174.53

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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.