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Finding the Fourth Proportional to 1,292.83, 1,940.76 and 926.51

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Solution

The fourth proportional to 1,292.83, 1,940.76 and 926.51 is: 1,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.83 : 1,940.76 = 926.51 : x
  2. Step 2: Convert to fraction form
    1,292.83/1,940.76 = 926.51/x
  3. Step 3: Cross multiply
    1,292.83x = 1,940.76 × 926.51
  4. Step 4: Simplify right side
    1,292.83x = 1,798,123.84
  5. Step 5: Solve for x
    x = 1,798,123.84/1,292.83
  6. Step 6: Final answer
    x = 1,390.85

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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.