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Finding the Fourth Proportional to 7,278.40, 10,917.60 and 6,715.20

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Solution

The fourth proportional to 7,278.40, 10,917.60 and 6,715.20 is: 10,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.40 : 10,917.60 = 6,715.20 : x
  2. Step 2: Convert to fraction form
    7,278.40/10,917.60 = 6,715.20/x
  3. Step 3: Cross multiply
    7,278.40x = 10,917.60 × 6,715.20
  4. Step 4: Simplify right side
    7,278.40x = 73,313,867.52
  5. Step 5: Solve for x
    x = 73,313,867.52/7,278.40
  6. Step 6: Final answer
    x = 10,072.80

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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.