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Finding the Fourth Proportional to 7,747.69, 10,691.79 and 4,210.87

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Solution

The fourth proportional to 7,747.69, 10,691.79 and 4,210.87 is: 5,810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.69 : 10,691.79 = 4,210.87 : x
  2. Step 2: Convert to fraction form
    7,747.69/10,691.79 = 4,210.87/x
  3. Step 3: Cross multiply
    7,747.69x = 10,691.79 × 4,210.87
  4. Step 4: Simplify right side
    7,747.69x = 45,021,737.76
  5. Step 5: Solve for x
    x = 45,021,737.76/7,747.69
  6. Step 6: Final answer
    x = 5,810.99

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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.