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Finding the Fourth Proportional to 7,771.60, 10,722.81 and 5,258.44

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Solution

The fourth proportional to 7,771.60, 10,722.81 and 5,258.44 is: 7,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.60 : 10,722.81 = 5,258.44 : x
  2. Step 2: Convert to fraction form
    7,771.60/10,722.81 = 5,258.44/x
  3. Step 3: Cross multiply
    7,771.60x = 10,722.81 × 5,258.44
  4. Step 4: Simplify right side
    7,771.60x = 56,385,253.02
  5. Step 5: Solve for x
    x = 56,385,253.02/7,771.60
  6. Step 6: Final answer
    x = 7,255.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.