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Finding the Fourth Proportional to 5,148.69, 7,723.05 and 1,253.07

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Solution

The fourth proportional to 5,148.69, 7,723.05 and 1,253.07 is: 1,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.69 : 7,723.05 = 1,253.07 : x
  2. Step 2: Convert to fraction form
    5,148.69/7,723.05 = 1,253.07/x
  3. Step 3: Cross multiply
    5,148.69x = 7,723.05 × 1,253.07
  4. Step 4: Simplify right side
    5,148.69x = 9,677,522.26
  5. Step 5: Solve for x
    x = 9,677,522.26/5,148.69
  6. Step 6: Final answer
    x = 1,879.61

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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.