Home / 2,432.24-3,647.40-788.36

Finding the Fourth Proportional to 2,432.24, 3,647.40 and 788.36

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Solution

The fourth proportional to 2,432.24, 3,647.40 and 788.36 is: 1,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.24 : 3,647.40 = 788.36 : x
  2. Step 2: Convert to fraction form
    2,432.24/3,647.40 = 788.36/x
  3. Step 3: Cross multiply
    2,432.24x = 3,647.40 × 788.36
  4. Step 4: Simplify right side
    2,432.24x = 2,875,464.26
  5. Step 5: Solve for x
    x = 2,875,464.26/2,432.24
  6. Step 6: Final answer
    x = 1,182.23

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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.