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Finding the Fourth Proportional to 7,662.60, 10,578.60 and 7,214.40

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Solution

The fourth proportional to 7,662.60, 10,578.60 and 7,214.40 is: 9,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.60 : 10,578.60 = 7,214.40 : x
  2. Step 2: Convert to fraction form
    7,662.60/10,578.60 = 7,214.40/x
  3. Step 3: Cross multiply
    7,662.60x = 10,578.60 × 7,214.40
  4. Step 4: Simplify right side
    7,662.60x = 76,318,251.84
  5. Step 5: Solve for x
    x = 76,318,251.84/7,662.60
  6. Step 6: Final answer
    x = 9,959.84

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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.