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Finding the Fourth Proportional to 1,883.72, 2,825.28 and 788.36

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Solution

The fourth proportional to 1,883.72, 2,825.28 and 788.36 is: 1,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.72 : 2,825.28 = 788.36 : x
  2. Step 2: Convert to fraction form
    1,883.72/2,825.28 = 788.36/x
  3. Step 3: Cross multiply
    1,883.72x = 2,825.28 × 788.36
  4. Step 4: Simplify right side
    1,883.72x = 2,227,337.74
  5. Step 5: Solve for x
    x = 2,227,337.74/1,883.72
  6. Step 6: Final answer
    x = 1,182.41

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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.