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Finding the Fourth Proportional to 6,387.21, 9,582.03 and 2,491.31

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Solution

The fourth proportional to 6,387.21, 9,582.03 and 2,491.31 is: 3,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.21 : 9,582.03 = 2,491.31 : x
  2. Step 2: Convert to fraction form
    6,387.21/9,582.03 = 2,491.31/x
  3. Step 3: Cross multiply
    6,387.21x = 9,582.03 × 2,491.31
  4. Step 4: Simplify right side
    6,387.21x = 23,871,831.11
  5. Step 5: Solve for x
    x = 23,871,831.11/6,387.21
  6. Step 6: Final answer
    x = 3,737.44

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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.