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Finding the Fourth Proportional to 11,533.92, 15,911.28 and 7,553.28

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Solution

The fourth proportional to 11,533.92, 15,911.28 and 7,553.28 is: 10,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.92 : 15,911.28 = 7,553.28 : x
  2. Step 2: Convert to fraction form
    11,533.92/15,911.28 = 7,553.28/x
  3. Step 3: Cross multiply
    11,533.92x = 15,911.28 × 7,553.28
  4. Step 4: Simplify right side
    11,533.92x = 120,182,353.00
  5. Step 5: Solve for x
    x = 120,182,353.00/11,533.92
  6. Step 6: Final answer
    x = 10,419.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.