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Finding the Fourth Proportional to 3,807.80, 5,712.30 and 1,210.52

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Solution

The fourth proportional to 3,807.80, 5,712.30 and 1,210.52 is: 1,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.80 : 5,712.30 = 1,210.52 : x
  2. Step 2: Convert to fraction form
    3,807.80/5,712.30 = 1,210.52/x
  3. Step 3: Cross multiply
    3,807.80x = 5,712.30 × 1,210.52
  4. Step 4: Simplify right side
    3,807.80x = 6,914,853.40
  5. Step 5: Solve for x
    x = 6,914,853.40/3,807.80
  6. Step 6: Final answer
    x = 1,815.97

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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.