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Finding the Fourth Proportional to 2,642.55, 3,647.03 and 1,697.99

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Solution

The fourth proportional to 2,642.55, 3,647.03 and 1,697.99 is: 2,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.55 : 3,647.03 = 1,697.99 : x
  2. Step 2: Convert to fraction form
    2,642.55/3,647.03 = 1,697.99/x
  3. Step 3: Cross multiply
    2,642.55x = 3,647.03 × 1,697.99
  4. Step 4: Simplify right side
    2,642.55x = 6,192,620.47
  5. Step 5: Solve for x
    x = 6,192,620.47/2,642.55
  6. Step 6: Final answer
    x = 2,343.43

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1.5x scale

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.