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Finding the Fourth Proportional to 10,251, 15,374.94 and 2,854.68

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Solution

The fourth proportional to 10,251, 15,374.94 and 2,854.68 is: 4,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251 : 15,374.94 = 2,854.68 : x
  2. Step 2: Convert to fraction form
    10,251/15,374.94 = 2,854.68/x
  3. Step 3: Cross multiply
    10,251x = 15,374.94 × 2,854.68
  4. Step 4: Simplify right side
    10,251x = 43,890,533.72
  5. Step 5: Solve for x
    x = 43,890,533.72/10,251
  6. Step 6: Final answer
    x = 4,281.59

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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.