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Finding the Fourth Proportional to 2,154.83, 3,232.55 and 749.07

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Solution

The fourth proportional to 2,154.83, 3,232.55 and 749.07 is: 1,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.83 : 3,232.55 = 749.07 : x
  2. Step 2: Convert to fraction form
    2,154.83/3,232.55 = 749.07/x
  3. Step 3: Cross multiply
    2,154.83x = 3,232.55 × 749.07
  4. Step 4: Simplify right side
    2,154.83x = 2,421,408.10
  5. Step 5: Solve for x
    x = 2,421,408.10/2,154.83
  6. Step 6: Final answer
    x = 1,123.71

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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.