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Finding the Fourth Proportional to 2,411.78, 3,326.87 and 1,416.87

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Solution

The fourth proportional to 2,411.78, 3,326.87 and 1,416.87 is: 1,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.78 : 3,326.87 = 1,416.87 : x
  2. Step 2: Convert to fraction form
    2,411.78/3,326.87 = 1,416.87/x
  3. Step 3: Cross multiply
    2,411.78x = 3,326.87 × 1,416.87
  4. Step 4: Simplify right side
    2,411.78x = 4,713,747.07
  5. Step 5: Solve for x
    x = 4,713,747.07/2,411.78
  6. Step 6: Final answer
    x = 1,954.47

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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.