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Finding the Fourth Proportional to 1,934, 2,669.28 and 1,106

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Solution

The fourth proportional to 1,934, 2,669.28 and 1,106 is: 1,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934 : 2,669.28 = 1,106 : x
  2. Step 2: Convert to fraction form
    1,934/2,669.28 = 1,106/x
  3. Step 3: Cross multiply
    1,934x = 2,669.28 × 1,106
  4. Step 4: Simplify right side
    1,934x = 2,952,223.68
  5. Step 5: Solve for x
    x = 2,952,223.68/1,934
  6. Step 6: Final answer
    x = 1,526.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.