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Finding the Fourth Proportional to 1,706.14, 2,352.86 and 1,578.87

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Solution

The fourth proportional to 1,706.14, 2,352.86 and 1,578.87 is: 2,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.14 : 2,352.86 = 1,578.87 : x
  2. Step 2: Convert to fraction form
    1,706.14/2,352.86 = 1,578.87/x
  3. Step 3: Cross multiply
    1,706.14x = 2,352.86 × 1,578.87
  4. Step 4: Simplify right side
    1,706.14x = 3,714,860.07
  5. Step 5: Solve for x
    x = 3,714,860.07/1,706.14
  6. Step 6: Final answer
    x = 2,177.35

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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.