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Finding the Fourth Proportional to 4,357.72, 6,522 and 4,299.40

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Solution

The fourth proportional to 4,357.72, 6,522 and 4,299.40 is: 6,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.72 : 6,522 = 4,299.40 : x
  2. Step 2: Convert to fraction form
    4,357.72/6,522 = 4,299.40/x
  3. Step 3: Cross multiply
    4,357.72x = 6,522 × 4,299.40
  4. Step 4: Simplify right side
    4,357.72x = 28,040,686.80
  5. Step 5: Solve for x
    x = 28,040,686.80/4,357.72
  6. Step 6: Final answer
    x = 6,434.72

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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.