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Finding the Fourth Proportional to 2,806.77, 4,209.68 and 832.36

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Solution

The fourth proportional to 2,806.77, 4,209.68 and 832.36 is: 1,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.77 : 4,209.68 = 832.36 : x
  2. Step 2: Convert to fraction form
    2,806.77/4,209.68 = 832.36/x
  3. Step 3: Cross multiply
    2,806.77x = 4,209.68 × 832.36
  4. Step 4: Simplify right side
    2,806.77x = 3,503,969.24
  5. Step 5: Solve for x
    x = 3,503,969.24/2,806.77
  6. Step 6: Final answer
    x = 1,248.40

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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.