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Finding the Fourth Proportional to 4,640.69, 6,964.08 and 1,866.85

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Solution

The fourth proportional to 4,640.69, 6,964.08 and 1,866.85 is: 2,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.69 : 6,964.08 = 1,866.85 : x
  2. Step 2: Convert to fraction form
    4,640.69/6,964.08 = 1,866.85/x
  3. Step 3: Cross multiply
    4,640.69x = 6,964.08 × 1,866.85
  4. Step 4: Simplify right side
    4,640.69x = 13,000,868.34
  5. Step 5: Solve for x
    x = 13,000,868.34/4,640.69
  6. Step 6: Final answer
    x = 2,801.49

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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.