Home / 1,758.78-2,428.09-1,200.08

Finding the Fourth Proportional to 1,758.78, 2,428.09 and 1,200.08

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Solution

The fourth proportional to 1,758.78, 2,428.09 and 1,200.08 is: 1,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.78 : 2,428.09 = 1,200.08 : x
  2. Step 2: Convert to fraction form
    1,758.78/2,428.09 = 1,200.08/x
  3. Step 3: Cross multiply
    1,758.78x = 2,428.09 × 1,200.08
  4. Step 4: Simplify right side
    1,758.78x = 2,913,902.25
  5. Step 5: Solve for x
    x = 2,913,902.25/1,758.78
  6. Step 6: Final answer
    x = 1,656.77

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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.