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Finding the Fourth Proportional to 2,655.80, 3,983.70 and 1,878.20

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Solution

The fourth proportional to 2,655.80, 3,983.70 and 1,878.20 is: 2,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.80 : 3,983.70 = 1,878.20 : x
  2. Step 2: Convert to fraction form
    2,655.80/3,983.70 = 1,878.20/x
  3. Step 3: Cross multiply
    2,655.80x = 3,983.70 × 1,878.20
  4. Step 4: Simplify right side
    2,655.80x = 7,482,185.34
  5. Step 5: Solve for x
    x = 7,482,185.34/2,655.80
  6. Step 6: Final answer
    x = 2,817.30

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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.