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Finding the Fourth Proportional to 2,427.93, 3,641.90 and 784.58

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Solution

The fourth proportional to 2,427.93, 3,641.90 and 784.58 is: 1,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.93 : 3,641.90 = 784.58 : x
  2. Step 2: Convert to fraction form
    2,427.93/3,641.90 = 784.58/x
  3. Step 3: Cross multiply
    2,427.93x = 3,641.90 × 784.58
  4. Step 4: Simplify right side
    2,427.93x = 2,857,339.77
  5. Step 5: Solve for x
    x = 2,857,339.77/2,427.93
  6. Step 6: Final answer
    x = 1,176.86

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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.