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Finding the Fourth Proportional to 11,507.78, 17,264.10 and 3,717.20

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Solution

The fourth proportional to 11,507.78, 17,264.10 and 3,717.20 is: 5,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.78 : 17,264.10 = 3,717.20 : x
  2. Step 2: Convert to fraction form
    11,507.78/17,264.10 = 3,717.20/x
  3. Step 3: Cross multiply
    11,507.78x = 17,264.10 × 3,717.20
  4. Step 4: Simplify right side
    11,507.78x = 64,174,112.52
  5. Step 5: Solve for x
    x = 64,174,112.52/11,507.78
  6. Step 6: Final answer
    x = 5,576.58

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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.