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Finding the Fourth Proportional to 3,439.37, 5,159.12 and 842.31

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Solution

The fourth proportional to 3,439.37, 5,159.12 and 842.31 is: 1,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.37 : 5,159.12 = 842.31 : x
  2. Step 2: Convert to fraction form
    3,439.37/5,159.12 = 842.31/x
  3. Step 3: Cross multiply
    3,439.37x = 5,159.12 × 842.31
  4. Step 4: Simplify right side
    3,439.37x = 4,345,574.16
  5. Step 5: Solve for x
    x = 4,345,574.16/3,439.37
  6. Step 6: Final answer
    x = 1,263.48

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1.5x scale

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.