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Finding the Fourth Proportional to 1,710.78, 2,566.31 and 1,254.24

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Solution

The fourth proportional to 1,710.78, 2,566.31 and 1,254.24 is: 1,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.78 : 2,566.31 = 1,254.24 : x
  2. Step 2: Convert to fraction form
    1,710.78/2,566.31 = 1,254.24/x
  3. Step 3: Cross multiply
    1,710.78x = 2,566.31 × 1,254.24
  4. Step 4: Simplify right side
    1,710.78x = 3,218,758.96
  5. Step 5: Solve for x
    x = 3,218,758.96/1,710.78
  6. Step 6: Final answer
    x = 1,881.46

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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.