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Finding the Fourth Proportional to 2,262.76, 3,390.78 and 1,854.76

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Solution

The fourth proportional to 2,262.76, 3,390.78 and 1,854.76 is: 2,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.76 : 3,390.78 = 1,854.76 : x
  2. Step 2: Convert to fraction form
    2,262.76/3,390.78 = 1,854.76/x
  3. Step 3: Cross multiply
    2,262.76x = 3,390.78 × 1,854.76
  4. Step 4: Simplify right side
    2,262.76x = 6,289,083.11
  5. Step 5: Solve for x
    x = 6,289,083.11/2,262.76
  6. Step 6: Final answer
    x = 2,779.39

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1.5x scale

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.