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Finding the Fourth Proportional to 7,695.60, 11,543.40 and 2,766.78

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Solution

The fourth proportional to 7,695.60, 11,543.40 and 2,766.78 is: 4,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.60 : 11,543.40 = 2,766.78 : x
  2. Step 2: Convert to fraction form
    7,695.60/11,543.40 = 2,766.78/x
  3. Step 3: Cross multiply
    7,695.60x = 11,543.40 × 2,766.78
  4. Step 4: Simplify right side
    7,695.60x = 31,938,048.25
  5. Step 5: Solve for x
    x = 31,938,048.25/7,695.60
  6. Step 6: Final answer
    x = 4,150.17

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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.