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Finding the Fourth Proportional to 1,927.88, 2,659.47 and 1,264.40

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Solution

The fourth proportional to 1,927.88, 2,659.47 and 1,264.40 is: 1,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.88 : 2,659.47 = 1,264.40 : x
  2. Step 2: Convert to fraction form
    1,927.88/2,659.47 = 1,264.40/x
  3. Step 3: Cross multiply
    1,927.88x = 2,659.47 × 1,264.40
  4. Step 4: Simplify right side
    1,927.88x = 3,362,633.87
  5. Step 5: Solve for x
    x = 3,362,633.87/1,927.88
  6. Step 6: Final answer
    x = 1,744.21

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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.