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Finding the Fourth Proportional to 10,256.61, 15,375.20 and 3,326.25

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Solution

The fourth proportional to 10,256.61, 15,375.20 and 3,326.25 is: 4,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.61 : 15,375.20 = 3,326.25 : x
  2. Step 2: Convert to fraction form
    10,256.61/15,375.20 = 3,326.25/x
  3. Step 3: Cross multiply
    10,256.61x = 15,375.20 × 3,326.25
  4. Step 4: Simplify right side
    10,256.61x = 51,141,742.37
  5. Step 5: Solve for x
    x = 51,141,742.37/10,256.61
  6. Step 6: Final answer
    x = 4,986.22

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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.