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Finding the Fourth Proportional to 2,123.66, 3,184.45 and 737.07

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Solution

The fourth proportional to 2,123.66, 3,184.45 and 737.07 is: 1,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.66 : 3,184.45 = 737.07 : x
  2. Step 2: Convert to fraction form
    2,123.66/3,184.45 = 737.07/x
  3. Step 3: Cross multiply
    2,123.66x = 3,184.45 × 737.07
  4. Step 4: Simplify right side
    2,123.66x = 2,347,162.56
  5. Step 5: Solve for x
    x = 2,347,162.56/2,123.66
  6. Step 6: Final answer
    x = 1,105.24

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1.5x scale

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.