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Finding the Fourth Proportional to 1,706.78, 2,565.87 and 1,400.90

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Solution

The fourth proportional to 1,706.78, 2,565.87 and 1,400.90 is: 2,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.78 : 2,565.87 = 1,400.90 : x
  2. Step 2: Convert to fraction form
    1,706.78/2,565.87 = 1,400.90/x
  3. Step 3: Cross multiply
    1,706.78x = 2,565.87 × 1,400.90
  4. Step 4: Simplify right side
    1,706.78x = 3,594,527.28
  5. Step 5: Solve for x
    x = 3,594,527.28/1,706.78
  6. Step 6: Final answer
    x = 2,106.03

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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.