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Finding the Fourth Proportional to 7,515.64, 11,281.76 and 7,327.11

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Solution

The fourth proportional to 7,515.64, 11,281.76 and 7,327.11 is: 10,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,515.64 : 11,281.76 = 7,327.11 : x
  2. Step 2: Convert to fraction form
    7,515.64/11,281.76 = 7,327.11/x
  3. Step 3: Cross multiply
    7,515.64x = 11,281.76 × 7,327.11
  4. Step 4: Simplify right side
    7,515.64x = 82,662,696.51
  5. Step 5: Solve for x
    x = 82,662,696.51/7,515.64
  6. Step 6: Final answer
    x = 10,998.76

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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.