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Finding the Fourth Proportional to 2,788.72, 4,182.95 and 708.80

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Solution

The fourth proportional to 2,788.72, 4,182.95 and 708.80 is: 1,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.72 : 4,182.95 = 708.80 : x
  2. Step 2: Convert to fraction form
    2,788.72/4,182.95 = 708.80/x
  3. Step 3: Cross multiply
    2,788.72x = 4,182.95 × 708.80
  4. Step 4: Simplify right side
    2,788.72x = 2,964,855.82
  5. Step 5: Solve for x
    x = 2,964,855.82/2,788.72
  6. Step 6: Final answer
    x = 1,063.16

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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.