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Finding the Fourth Proportional to 1,405.96, 2,097.51 and 1,355.51

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Solution

The fourth proportional to 1,405.96, 2,097.51 and 1,355.51 is: 2,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.96 : 2,097.51 = 1,355.51 : x
  2. Step 2: Convert to fraction form
    1,405.96/2,097.51 = 1,355.51/x
  3. Step 3: Cross multiply
    1,405.96x = 2,097.51 × 1,355.51
  4. Step 4: Simplify right side
    1,405.96x = 2,843,195.78
  5. Step 5: Solve for x
    x = 2,843,195.78/1,405.96
  6. Step 6: Final answer
    x = 2,022.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.