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Finding the Fourth Proportional to 39,643.46, 59,475.10 and 27,979.46

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Solution

The fourth proportional to 39,643.46, 59,475.10 and 27,979.46 is: 41,976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,643.46 : 59,475.10 = 27,979.46 : x
  2. Step 2: Convert to fraction form
    39,643.46/59,475.10 = 27,979.46/x
  3. Step 3: Cross multiply
    39,643.46x = 59,475.10 × 27,979.46
  4. Step 4: Simplify right side
    39,643.46x = 1,664,081,181.45
  5. Step 5: Solve for x
    x = 1,664,081,181.45/39,643.46
  6. Step 6: Final answer
    x = 41,976.18

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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.