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Finding the Fourth Proportional to 4,262.76, 6,394.86 and 1,340.82

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Solution

The fourth proportional to 4,262.76, 6,394.86 and 1,340.82 is: 2,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.76 : 6,394.86 = 1,340.82 : x
  2. Step 2: Convert to fraction form
    4,262.76/6,394.86 = 1,340.82/x
  3. Step 3: Cross multiply
    4,262.76x = 6,394.86 × 1,340.82
  4. Step 4: Simplify right side
    4,262.76x = 8,574,356.19
  5. Step 5: Solve for x
    x = 8,574,356.19/4,262.76
  6. Step 6: Final answer
    x = 2,011.46

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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.