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Finding the Fourth Proportional to 11,901.48, 17,851.17 and 7,220.10

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Solution

The fourth proportional to 11,901.48, 17,851.17 and 7,220.10 is: 10,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.48 : 17,851.17 = 7,220.10 : x
  2. Step 2: Convert to fraction form
    11,901.48/17,851.17 = 7,220.10/x
  3. Step 3: Cross multiply
    11,901.48x = 17,851.17 × 7,220.10
  4. Step 4: Simplify right side
    11,901.48x = 128,887,232.52
  5. Step 5: Solve for x
    x = 128,887,232.52/11,901.48
  6. Step 6: Final answer
    x = 10,829.51

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1.5x scale

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.