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Finding the Fourth Proportional to 3,867.65, 5,800.92 and 1,235.45

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Solution

The fourth proportional to 3,867.65, 5,800.92 and 1,235.45 is: 1,853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.65 : 5,800.92 = 1,235.45 : x
  2. Step 2: Convert to fraction form
    3,867.65/5,800.92 = 1,235.45/x
  3. Step 3: Cross multiply
    3,867.65x = 5,800.92 × 1,235.45
  4. Step 4: Simplify right side
    3,867.65x = 7,166,756.48
  5. Step 5: Solve for x
    x = 7,166,756.48/3,867.65
  6. Step 6: Final answer
    x = 1,853.00

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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.