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Finding the Fourth Proportional to 7,149.90, 10,723.53 and 2,988.79

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Solution

The fourth proportional to 7,149.90, 10,723.53 and 2,988.79 is: 4,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.90 : 10,723.53 = 2,988.79 : x
  2. Step 2: Convert to fraction form
    7,149.90/10,723.53 = 2,988.79/x
  3. Step 3: Cross multiply
    7,149.90x = 10,723.53 × 2,988.79
  4. Step 4: Simplify right side
    7,149.90x = 32,050,379.23
  5. Step 5: Solve for x
    x = 32,050,379.23/7,149.90
  6. Step 6: Final answer
    x = 4,482.63

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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.