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Finding the Fourth Proportional to 3,124.00, 4,685.99 and 932.75

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Solution

The fourth proportional to 3,124.00, 4,685.99 and 932.75 is: 1,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.00 : 4,685.99 = 932.75 : x
  2. Step 2: Convert to fraction form
    3,124.00/4,685.99 = 932.75/x
  3. Step 3: Cross multiply
    3,124.00x = 4,685.99 × 932.75
  4. Step 4: Simplify right side
    3,124.00x = 4,370,846.65
  5. Step 5: Solve for x
    x = 4,370,846.65/3,124.00
  6. Step 6: Final answer
    x = 1,399.12

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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.