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Finding the Fourth Proportional to 7,427.82, 11,159.16 and 7,007.52

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Solution

The fourth proportional to 7,427.82, 11,159.16 and 7,007.52 is: 10,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.82 : 11,159.16 = 7,007.52 : x
  2. Step 2: Convert to fraction form
    7,427.82/11,159.16 = 7,007.52/x
  3. Step 3: Cross multiply
    7,427.82x = 11,159.16 × 7,007.52
  4. Step 4: Simplify right side
    7,427.82x = 78,198,036.88
  5. Step 5: Solve for x
    x = 78,198,036.88/7,427.82
  6. Step 6: Final answer
    x = 10,527.72

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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.