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Finding the Fourth Proportional to 1,903.18, 2,855.37 and 807.83

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Solution

The fourth proportional to 1,903.18, 2,855.37 and 807.83 is: 1,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.18 : 2,855.37 = 807.83 : x
  2. Step 2: Convert to fraction form
    1,903.18/2,855.37 = 807.83/x
  3. Step 3: Cross multiply
    1,903.18x = 2,855.37 × 807.83
  4. Step 4: Simplify right side
    1,903.18x = 2,306,653.55
  5. Step 5: Solve for x
    x = 2,306,653.55/1,903.18
  6. Step 6: Final answer
    x = 1,212.00

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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.