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Finding the Fourth Proportional to 9,211.18, 12,710 and 5,177.22

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Solution

The fourth proportional to 9,211.18, 12,710 and 5,177.22 is: 7,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.18 : 12,710 = 5,177.22 : x
  2. Step 2: Convert to fraction form
    9,211.18/12,710 = 5,177.22/x
  3. Step 3: Cross multiply
    9,211.18x = 12,710 × 5,177.22
  4. Step 4: Simplify right side
    9,211.18x = 65,802,466.20
  5. Step 5: Solve for x
    x = 65,802,466.20/9,211.18
  6. Step 6: Final answer
    x = 7,143.76

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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.