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Finding the Fourth Proportional to 2,643.53, 3,650.35 and 2,195.00

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Solution

The fourth proportional to 2,643.53, 3,650.35 and 2,195.00 is: 3,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.53 : 3,650.35 = 2,195.00 : x
  2. Step 2: Convert to fraction form
    2,643.53/3,650.35 = 2,195.00/x
  3. Step 3: Cross multiply
    2,643.53x = 3,650.35 × 2,195.00
  4. Step 4: Simplify right side
    2,643.53x = 8,012,500.00
  5. Step 5: Solve for x
    x = 8,012,500.00/2,643.53
  6. Step 6: Final answer
    x = 3,030.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.