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Finding the Fourth Proportional to 2,309.80, 3,465.25 and 749.81

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Solution

The fourth proportional to 2,309.80, 3,465.25 and 749.81 is: 1,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.80 : 3,465.25 = 749.81 : x
  2. Step 2: Convert to fraction form
    2,309.80/3,465.25 = 749.81/x
  3. Step 3: Cross multiply
    2,309.80x = 3,465.25 × 749.81
  4. Step 4: Simplify right side
    2,309.80x = 2,598,279.10
  5. Step 5: Solve for x
    x = 2,598,279.10/2,309.80
  6. Step 6: Final answer
    x = 1,124.89

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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.