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Finding the Fourth Proportional to 7,719.60, 10,654.20 and 6,458.80

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Solution

The fourth proportional to 7,719.60, 10,654.20 and 6,458.80 is: 8,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.60 : 10,654.20 = 6,458.80 : x
  2. Step 2: Convert to fraction form
    7,719.60/10,654.20 = 6,458.80/x
  3. Step 3: Cross multiply
    7,719.60x = 10,654.20 × 6,458.80
  4. Step 4: Simplify right side
    7,719.60x = 68,813,346.96
  5. Step 5: Solve for x
    x = 68,813,346.96/7,719.60
  6. Step 6: Final answer
    x = 8,914.11

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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.