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Finding the Fourth Proportional to 2,807.95, 4,211.90 and 727.77

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Solution

The fourth proportional to 2,807.95, 4,211.90 and 727.77 is: 1,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.95 : 4,211.90 = 727.77 : x
  2. Step 2: Convert to fraction form
    2,807.95/4,211.90 = 727.77/x
  3. Step 3: Cross multiply
    2,807.95x = 4,211.90 × 727.77
  4. Step 4: Simplify right side
    2,807.95x = 3,065,294.46
  5. Step 5: Solve for x
    x = 3,065,294.46/2,807.95
  6. Step 6: Final answer
    x = 1,091.65

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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.