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Finding the Fourth Proportional to 1,929, 2,660.88 and 1,266.12

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Solution

The fourth proportional to 1,929, 2,660.88 and 1,266.12 is: 1,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929 : 2,660.88 = 1,266.12 : x
  2. Step 2: Convert to fraction form
    1,929/2,660.88 = 1,266.12/x
  3. Step 3: Cross multiply
    1,929x = 2,660.88 × 1,266.12
  4. Step 4: Simplify right side
    1,929x = 3,368,993.39
  5. Step 5: Solve for x
    x = 3,368,993.39/1,929
  6. Step 6: Final answer
    x = 1,746.50

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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.