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Finding the Fourth Proportional to 3,159.01, 4,738.50 and 1,078.01

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Solution

The fourth proportional to 3,159.01, 4,738.50 and 1,078.01 is: 1,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.01 : 4,738.50 = 1,078.01 : x
  2. Step 2: Convert to fraction form
    3,159.01/4,738.50 = 1,078.01/x
  3. Step 3: Cross multiply
    3,159.01x = 4,738.50 × 1,078.01
  4. Step 4: Simplify right side
    3,159.01x = 5,108,144.99
  5. Step 5: Solve for x
    x = 5,108,144.99/3,159.01
  6. Step 6: Final answer
    x = 1,617.01

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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.