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Finding the Fourth Proportional to 7,771.91, 11,657.79 and 4,652.80

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Solution

The fourth proportional to 7,771.91, 11,657.79 and 4,652.80 is: 6,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.91 : 11,657.79 = 4,652.80 : x
  2. Step 2: Convert to fraction form
    7,771.91/11,657.79 = 4,652.80/x
  3. Step 3: Cross multiply
    7,771.91x = 11,657.79 × 4,652.80
  4. Step 4: Simplify right side
    7,771.91x = 54,241,307.02
  5. Step 5: Solve for x
    x = 54,241,307.02/7,771.91
  6. Step 6: Final answer
    x = 6,979.15

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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.