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Finding the Fourth Proportional to 2,807.55, 4,211.28 and 859.77

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Solution

The fourth proportional to 2,807.55, 4,211.28 and 859.77 is: 1,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.55 : 4,211.28 = 859.77 : x
  2. Step 2: Convert to fraction form
    2,807.55/4,211.28 = 859.77/x
  3. Step 3: Cross multiply
    2,807.55x = 4,211.28 × 859.77
  4. Step 4: Simplify right side
    2,807.55x = 3,620,732.21
  5. Step 5: Solve for x
    x = 3,620,732.21/2,807.55
  6. Step 6: Final answer
    x = 1,289.64

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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.