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Finding the Fourth Proportional to 3,478.66, 5,208.87 and 2,385.16

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Solution

The fourth proportional to 3,478.66, 5,208.87 and 2,385.16 is: 3,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.66 : 5,208.87 = 2,385.16 : x
  2. Step 2: Convert to fraction form
    3,478.66/5,208.87 = 2,385.16/x
  3. Step 3: Cross multiply
    3,478.66x = 5,208.87 × 2,385.16
  4. Step 4: Simplify right side
    3,478.66x = 12,423,988.37
  5. Step 5: Solve for x
    x = 12,423,988.37/3,478.66
  6. Step 6: Final answer
    x = 3,571.49

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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.