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Finding the Fourth Proportional to 2,866.30, 4,305.85 and 2,002.30

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Solution

The fourth proportional to 2,866.30, 4,305.85 and 2,002.30 is: 3,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.30 : 4,305.85 = 2,002.30 : x
  2. Step 2: Convert to fraction form
    2,866.30/4,305.85 = 2,002.30/x
  3. Step 3: Cross multiply
    2,866.30x = 4,305.85 × 2,002.30
  4. Step 4: Simplify right side
    2,866.30x = 8,621,603.46
  5. Step 5: Solve for x
    x = 8,621,603.46/2,866.30
  6. Step 6: Final answer
    x = 3,007.92

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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.