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Finding the Fourth Proportional to 1,400.06, 2,102.85 and 880.98

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Solution

The fourth proportional to 1,400.06, 2,102.85 and 880.98 is: 1,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.06 : 2,102.85 = 880.98 : x
  2. Step 2: Convert to fraction form
    1,400.06/2,102.85 = 880.98/x
  3. Step 3: Cross multiply
    1,400.06x = 2,102.85 × 880.98
  4. Step 4: Simplify right side
    1,400.06x = 1,852,568.79
  5. Step 5: Solve for x
    x = 1,852,568.79/1,400.06
  6. Step 6: Final answer
    x = 1,323.21

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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.