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Finding the Fourth Proportional to 10,489.02, 15,733.56 and 5,291.28

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Solution

The fourth proportional to 10,489.02, 15,733.56 and 5,291.28 is: 7,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.02 : 15,733.56 = 5,291.28 : x
  2. Step 2: Convert to fraction form
    10,489.02/15,733.56 = 5,291.28/x
  3. Step 3: Cross multiply
    10,489.02x = 15,733.56 × 5,291.28
  4. Step 4: Simplify right side
    10,489.02x = 83,250,671.36
  5. Step 5: Solve for x
    x = 83,250,671.36/10,489.02
  6. Step 6: Final answer
    x = 7,936.94

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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.