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Finding the Fourth Proportional to 4,661.36, 6,985.68 and 2,578.28

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Solution

The fourth proportional to 4,661.36, 6,985.68 and 2,578.28 is: 3,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.36 : 6,985.68 = 2,578.28 : x
  2. Step 2: Convert to fraction form
    4,661.36/6,985.68 = 2,578.28/x
  3. Step 3: Cross multiply
    4,661.36x = 6,985.68 × 2,578.28
  4. Step 4: Simplify right side
    4,661.36x = 18,011,039.03
  5. Step 5: Solve for x
    x = 18,011,039.03/4,661.36
  6. Step 6: Final answer
    x = 3,863.90

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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.