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Finding the Fourth Proportional to 1,355.05, 1,870.84 and 1,106.97

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Solution

The fourth proportional to 1,355.05, 1,870.84 and 1,106.97 is: 1,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.05 : 1,870.84 = 1,106.97 : x
  2. Step 2: Convert to fraction form
    1,355.05/1,870.84 = 1,106.97/x
  3. Step 3: Cross multiply
    1,355.05x = 1,870.84 × 1,106.97
  4. Step 4: Simplify right side
    1,355.05x = 2,070,963.75
  5. Step 5: Solve for x
    x = 2,070,963.75/1,355.05
  6. Step 6: Final answer
    x = 1,528.33

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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.