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Finding the Fourth Proportional to 3,156.77, 4,731.71 and 1,208.52

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Solution

The fourth proportional to 3,156.77, 4,731.71 and 1,208.52 is: 1,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.77 : 4,731.71 = 1,208.52 : x
  2. Step 2: Convert to fraction form
    3,156.77/4,731.71 = 1,208.52/x
  3. Step 3: Cross multiply
    3,156.77x = 4,731.71 × 1,208.52
  4. Step 4: Simplify right side
    3,156.77x = 5,718,360.13
  5. Step 5: Solve for x
    x = 5,718,360.13/3,156.77
  6. Step 6: Final answer
    x = 1,811.46

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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.