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Finding the Fourth Proportional to 1,837.78, 2,535.78 and 1,207.60

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Solution

The fourth proportional to 1,837.78, 2,535.78 and 1,207.60 is: 1,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.78 : 2,535.78 = 1,207.60 : x
  2. Step 2: Convert to fraction form
    1,837.78/2,535.78 = 1,207.60/x
  3. Step 3: Cross multiply
    1,837.78x = 2,535.78 × 1,207.60
  4. Step 4: Simplify right side
    1,837.78x = 3,062,207.93
  5. Step 5: Solve for x
    x = 3,062,207.93/1,837.78
  6. Step 6: Final answer
    x = 1,666.25

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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.