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Finding the Fourth Proportional to 1,926.95, 2,658.48 and 1,264.17

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Solution

The fourth proportional to 1,926.95, 2,658.48 and 1,264.17 is: 1,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.95 : 2,658.48 = 1,264.17 : x
  2. Step 2: Convert to fraction form
    1,926.95/2,658.48 = 1,264.17/x
  3. Step 3: Cross multiply
    1,926.95x = 2,658.48 × 1,264.17
  4. Step 4: Simplify right side
    1,926.95x = 3,360,770.66
  5. Step 5: Solve for x
    x = 3,360,770.66/1,926.95
  6. Step 6: Final answer
    x = 1,744.09

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1.5x scale

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.