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Finding the Fourth Proportional to 3,257.77, 4,886.65 and 1,778.47

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Solution

The fourth proportional to 3,257.77, 4,886.65 and 1,778.47 is: 2,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.77 : 4,886.65 = 1,778.47 : x
  2. Step 2: Convert to fraction form
    3,257.77/4,886.65 = 1,778.47/x
  3. Step 3: Cross multiply
    3,257.77x = 4,886.65 × 1,778.47
  4. Step 4: Simplify right side
    3,257.77x = 8,690,727.10
  5. Step 5: Solve for x
    x = 8,690,727.10/3,257.77
  6. Step 6: Final answer
    x = 2,667.70

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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.