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Finding the Fourth Proportional to 7,110, 10,660.46 and 2,952.88

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Solution

The fourth proportional to 7,110, 10,660.46 and 2,952.88 is: 4,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110 : 10,660.46 = 2,952.88 : x
  2. Step 2: Convert to fraction form
    7,110/10,660.46 = 2,952.88/x
  3. Step 3: Cross multiply
    7,110x = 10,660.46 × 2,952.88
  4. Step 4: Simplify right side
    7,110x = 31,479,017.71
  5. Step 5: Solve for x
    x = 31,479,017.71/7,110
  6. Step 6: Final answer
    x = 4,427.43

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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.