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Finding the Fourth Proportional to 2,386.25, 3,576.87 and 803.79

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Solution

The fourth proportional to 2,386.25, 3,576.87 and 803.79 is: 1,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.25 : 3,576.87 = 803.79 : x
  2. Step 2: Convert to fraction form
    2,386.25/3,576.87 = 803.79/x
  3. Step 3: Cross multiply
    2,386.25x = 3,576.87 × 803.79
  4. Step 4: Simplify right side
    2,386.25x = 2,875,041.94
  5. Step 5: Solve for x
    x = 2,875,041.94/2,386.25
  6. Step 6: Final answer
    x = 1,204.84

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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.