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Finding the Fourth Proportional to 1,295.84, 1,946.06 and 1,226.65

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Solution

The fourth proportional to 1,295.84, 1,946.06 and 1,226.65 is: 1,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.84 : 1,946.06 = 1,226.65 : x
  2. Step 2: Convert to fraction form
    1,295.84/1,946.06 = 1,226.65/x
  3. Step 3: Cross multiply
    1,295.84x = 1,946.06 × 1,226.65
  4. Step 4: Simplify right side
    1,295.84x = 2,387,134.50
  5. Step 5: Solve for x
    x = 2,387,134.50/1,295.84
  6. Step 6: Final answer
    x = 1,842.15

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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.