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Finding the Fourth Proportional to 1,296.71, 1,946.32 and 1,226.47

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Solution

The fourth proportional to 1,296.71, 1,946.32 and 1,226.47 is: 1,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.71 : 1,946.32 = 1,226.47 : x
  2. Step 2: Convert to fraction form
    1,296.71/1,946.32 = 1,226.47/x
  3. Step 3: Cross multiply
    1,296.71x = 1,946.32 × 1,226.47
  4. Step 4: Simplify right side
    1,296.71x = 2,387,095.16
  5. Step 5: Solve for x
    x = 2,387,095.16/1,296.71
  6. Step 6: Final answer
    x = 1,840.89

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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.