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Finding the Fourth Proportional to 4,322.78, 6,484.20 and 1,401.20

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Solution

The fourth proportional to 4,322.78, 6,484.20 and 1,401.20 is: 2,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.78 : 6,484.20 = 1,401.20 : x
  2. Step 2: Convert to fraction form
    4,322.78/6,484.20 = 1,401.20/x
  3. Step 3: Cross multiply
    4,322.78x = 6,484.20 × 1,401.20
  4. Step 4: Simplify right side
    4,322.78x = 9,085,661.04
  5. Step 5: Solve for x
    x = 9,085,661.04/4,322.78
  6. Step 6: Final answer
    x = 2,101.81

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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.