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Finding the Fourth Proportional to 1,910.94, 2,867.85 and 1,530.78

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Solution

The fourth proportional to 1,910.94, 2,867.85 and 1,530.78 is: 2,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.94 : 2,867.85 = 1,530.78 : x
  2. Step 2: Convert to fraction form
    1,910.94/2,867.85 = 1,530.78/x
  3. Step 3: Cross multiply
    1,910.94x = 2,867.85 × 1,530.78
  4. Step 4: Simplify right side
    1,910.94x = 4,390,047.42
  5. Step 5: Solve for x
    x = 4,390,047.42/1,910.94
  6. Step 6: Final answer
    x = 2,297.32

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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.