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Finding the Fourth Proportional to 2,535.48, 3,803.78 and 780.64

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Solution

The fourth proportional to 2,535.48, 3,803.78 and 780.64 is: 1,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.48 : 3,803.78 = 780.64 : x
  2. Step 2: Convert to fraction form
    2,535.48/3,803.78 = 780.64/x
  3. Step 3: Cross multiply
    2,535.48x = 3,803.78 × 780.64
  4. Step 4: Simplify right side
    2,535.48x = 2,969,382.82
  5. Step 5: Solve for x
    x = 2,969,382.82/2,535.48
  6. Step 6: Final answer
    x = 1,171.13

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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.