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Finding the Fourth Proportional to 2,431.85, 3,647.36 and 788.15

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Solution

The fourth proportional to 2,431.85, 3,647.36 and 788.15 is: 1,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.85 : 3,647.36 = 788.15 : x
  2. Step 2: Convert to fraction form
    2,431.85/3,647.36 = 788.15/x
  3. Step 3: Cross multiply
    2,431.85x = 3,647.36 × 788.15
  4. Step 4: Simplify right side
    2,431.85x = 2,874,677.87
  5. Step 5: Solve for x
    x = 2,874,677.87/2,431.85
  6. Step 6: Final answer
    x = 1,182.10

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1.5x scale

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.