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Finding the Fourth Proportional to 2,695.40, 4,043.10 and 2,580.20

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Solution

The fourth proportional to 2,695.40, 4,043.10 and 2,580.20 is: 3,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.40 : 4,043.10 = 2,580.20 : x
  2. Step 2: Convert to fraction form
    2,695.40/4,043.10 = 2,580.20/x
  3. Step 3: Cross multiply
    2,695.40x = 4,043.10 × 2,580.20
  4. Step 4: Simplify right side
    2,695.40x = 10,432,006.62
  5. Step 5: Solve for x
    x = 10,432,006.62/2,695.40
  6. Step 6: Final answer
    x = 3,870.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.