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Finding the Fourth Proportional to 7,151.64, 10,718.82 and 3,039

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Solution

The fourth proportional to 7,151.64, 10,718.82 and 3,039 is: 4,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.64 : 10,718.82 = 3,039 : x
  2. Step 2: Convert to fraction form
    7,151.64/10,718.82 = 3,039/x
  3. Step 3: Cross multiply
    7,151.64x = 10,718.82 × 3,039
  4. Step 4: Simplify right side
    7,151.64x = 32,574,493.98
  5. Step 5: Solve for x
    x = 32,574,493.98/7,151.64
  6. Step 6: Final answer
    x = 4,554.83

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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.