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Finding the Fourth Proportional to 5,148.50, 7,723.05 and 1,451.01

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Solution

The fourth proportional to 5,148.50, 7,723.05 and 1,451.01 is: 2,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.50 : 7,723.05 = 1,451.01 : x
  2. Step 2: Convert to fraction form
    5,148.50/7,723.05 = 1,451.01/x
  3. Step 3: Cross multiply
    5,148.50x = 7,723.05 × 1,451.01
  4. Step 4: Simplify right side
    5,148.50x = 11,206,222.78
  5. Step 5: Solve for x
    x = 11,206,222.78/5,148.50
  6. Step 6: Final answer
    x = 2,176.60

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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.