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Finding the Fourth Proportional to 1,855.40, 2,559.39 and 1,109.12

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Solution

The fourth proportional to 1,855.40, 2,559.39 and 1,109.12 is: 1,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.40 : 2,559.39 = 1,109.12 : x
  2. Step 2: Convert to fraction form
    1,855.40/2,559.39 = 1,109.12/x
  3. Step 3: Cross multiply
    1,855.40x = 2,559.39 × 1,109.12
  4. Step 4: Simplify right side
    1,855.40x = 2,838,670.64
  5. Step 5: Solve for x
    x = 2,838,670.64/1,855.40
  6. Step 6: Final answer
    x = 1,529.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.