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Finding the Fourth Proportional to 9,201.51, 12,697.90 and 5,222.66

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Solution

The fourth proportional to 9,201.51, 12,697.90 and 5,222.66 is: 7,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.51 : 12,697.90 = 5,222.66 : x
  2. Step 2: Convert to fraction form
    9,201.51/12,697.90 = 5,222.66/x
  3. Step 3: Cross multiply
    9,201.51x = 12,697.90 × 5,222.66
  4. Step 4: Simplify right side
    9,201.51x = 66,316,737.87
  5. Step 5: Solve for x
    x = 66,316,737.87/9,201.51
  6. Step 6: Final answer
    x = 7,207.16

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