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Finding the Fourth Proportional to 1,788.36, 2,681.54 and 747.24

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Solution

The fourth proportional to 1,788.36, 2,681.54 and 747.24 is: 1,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.36 : 2,681.54 = 747.24 : x
  2. Step 2: Convert to fraction form
    1,788.36/2,681.54 = 747.24/x
  3. Step 3: Cross multiply
    1,788.36x = 2,681.54 × 747.24
  4. Step 4: Simplify right side
    1,788.36x = 2,003,750.21
  5. Step 5: Solve for x
    x = 2,003,750.21/1,788.36
  6. Step 6: Final answer
    x = 1,120.44

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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.