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Finding the Fourth Proportional to 6,401.24, 8,838 and 4,012.16

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Solution

The fourth proportional to 6,401.24, 8,838 and 4,012.16 is: 5,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.24 : 8,838 = 4,012.16 : x
  2. Step 2: Convert to fraction form
    6,401.24/8,838 = 4,012.16/x
  3. Step 3: Cross multiply
    6,401.24x = 8,838 × 4,012.16
  4. Step 4: Simplify right side
    6,401.24x = 35,459,470.08
  5. Step 5: Solve for x
    x = 35,459,470.08/6,401.24
  6. Step 6: Final answer
    x = 5,539.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.