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Finding the Fourth Proportional to 4,208.78, 6,315.99 and 1,472.78

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Solution

The fourth proportional to 4,208.78, 6,315.99 and 1,472.78 is: 2,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.78 : 6,315.99 = 1,472.78 : x
  2. Step 2: Convert to fraction form
    4,208.78/6,315.99 = 1,472.78/x
  3. Step 3: Cross multiply
    4,208.78x = 6,315.99 × 1,472.78
  4. Step 4: Simplify right side
    4,208.78x = 9,302,063.75
  5. Step 5: Solve for x
    x = 9,302,063.75/4,208.78
  6. Step 6: Final answer
    x = 2,210.16

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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.