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Finding the Fourth Proportional to 9,201.16, 12,693.38 and 5,422.51

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Solution

The fourth proportional to 9,201.16, 12,693.38 and 5,422.51 is: 7,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.16 : 12,693.38 = 5,422.51 : x
  2. Step 2: Convert to fraction form
    9,201.16/12,693.38 = 5,422.51/x
  3. Step 3: Cross multiply
    9,201.16x = 12,693.38 × 5,422.51
  4. Step 4: Simplify right side
    9,201.16x = 68,829,979.98
  5. Step 5: Solve for x
    x = 68,829,979.98/9,201.16
  6. Step 6: Final answer
    x = 7,480.58

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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.