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Finding the Fourth Proportional to 1,866.98, 2,776.70 and 1,830.12

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Solution

The fourth proportional to 1,866.98, 2,776.70 and 1,830.12 is: 2,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.98 : 2,776.70 = 1,830.12 : x
  2. Step 2: Convert to fraction form
    1,866.98/2,776.70 = 1,830.12/x
  3. Step 3: Cross multiply
    1,866.98x = 2,776.70 × 1,830.12
  4. Step 4: Simplify right side
    1,866.98x = 5,081,694.20
  5. Step 5: Solve for x
    x = 5,081,694.20/1,866.98
  6. Step 6: Final answer
    x = 2,721.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.