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Finding the Fourth Proportional to 7,884.86, 10,876.97 and 4,697.24

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Solution

The fourth proportional to 7,884.86, 10,876.97 and 4,697.24 is: 6,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.86 : 10,876.97 = 4,697.24 : x
  2. Step 2: Convert to fraction form
    7,884.86/10,876.97 = 4,697.24/x
  3. Step 3: Cross multiply
    7,884.86x = 10,876.97 × 4,697.24
  4. Step 4: Simplify right side
    7,884.86x = 51,091,715.08
  5. Step 5: Solve for x
    x = 51,091,715.08/7,884.86
  6. Step 6: Final answer
    x = 6,479.72

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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.