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Finding the Fourth Proportional to 6,408, 9,612.63 and 1,791

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Solution

The fourth proportional to 6,408, 9,612.63 and 1,791 is: 2,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408 : 9,612.63 = 1,791 : x
  2. Step 2: Convert to fraction form
    6,408/9,612.63 = 1,791/x
  3. Step 3: Cross multiply
    6,408x = 9,612.63 × 1,791
  4. Step 4: Simplify right side
    6,408x = 17,216,220.33
  5. Step 5: Solve for x
    x = 17,216,220.33/6,408
  6. Step 6: Final answer
    x = 2,686.68

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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.