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Finding the Fourth Proportional to 10,427.04, 15,642 and 3,503.52

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Solution

The fourth proportional to 10,427.04, 15,642 and 3,503.52 is: 5,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.04 : 15,642 = 3,503.52 : x
  2. Step 2: Convert to fraction form
    10,427.04/15,642 = 3,503.52/x
  3. Step 3: Cross multiply
    10,427.04x = 15,642 × 3,503.52
  4. Step 4: Simplify right side
    10,427.04x = 54,802,059.84
  5. Step 5: Solve for x
    x = 54,802,059.84/10,427.04
  6. Step 6: Final answer
    x = 5,255.76

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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.