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Finding the Fourth Proportional to 7,771.52, 11,657.20 and 2,963.76

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Solution

The fourth proportional to 7,771.52, 11,657.20 and 2,963.76 is: 4,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.52 : 11,657.20 = 2,963.76 : x
  2. Step 2: Convert to fraction form
    7,771.52/11,657.20 = 2,963.76/x
  3. Step 3: Cross multiply
    7,771.52x = 11,657.20 × 2,963.76
  4. Step 4: Simplify right side
    7,771.52x = 34,549,143.07
  5. Step 5: Solve for x
    x = 34,549,143.07/7,771.52
  6. Step 6: Final answer
    x = 4,445.61

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1.5x scale

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.