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Finding the Fourth Proportional to 2,338.01, 3,505.84 and 777.47

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Solution

The fourth proportional to 2,338.01, 3,505.84 and 777.47 is: 1,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.01 : 3,505.84 = 777.47 : x
  2. Step 2: Convert to fraction form
    2,338.01/3,505.84 = 777.47/x
  3. Step 3: Cross multiply
    2,338.01x = 3,505.84 × 777.47
  4. Step 4: Simplify right side
    2,338.01x = 2,725,678.81
  5. Step 5: Solve for x
    x = 2,725,678.81/2,338.01
  6. Step 6: Final answer
    x = 1,165.81

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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.