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Finding the Fourth Proportional to 10,427.94, 15,642 and 3,502.44

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Solution

The fourth proportional to 10,427.94, 15,642 and 3,502.44 is: 5,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.94 : 15,642 = 3,502.44 : x
  2. Step 2: Convert to fraction form
    10,427.94/15,642 = 3,502.44/x
  3. Step 3: Cross multiply
    10,427.94x = 15,642 × 3,502.44
  4. Step 4: Simplify right side
    10,427.94x = 54,785,166.48
  5. Step 5: Solve for x
    x = 54,785,166.48/10,427.94
  6. Step 6: Final answer
    x = 5,253.69

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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.