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Finding the Fourth Proportional to 7,106.76, 9,807.33 and 4,122.82

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Solution

The fourth proportional to 7,106.76, 9,807.33 and 4,122.82 is: 5,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.76 : 9,807.33 = 4,122.82 : x
  2. Step 2: Convert to fraction form
    7,106.76/9,807.33 = 4,122.82/x
  3. Step 3: Cross multiply
    7,106.76x = 9,807.33 × 4,122.82
  4. Step 4: Simplify right side
    7,106.76x = 40,433,856.27
  5. Step 5: Solve for x
    x = 40,433,856.27/7,106.76
  6. Step 6: Final answer
    x = 5,689.49

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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.