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Finding the Fourth Proportional to 7,806.32, 10,772.64 and 4,403

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Solution

The fourth proportional to 7,806.32, 10,772.64 and 4,403 is: 6,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.32 : 10,772.64 = 4,403 : x
  2. Step 2: Convert to fraction form
    7,806.32/10,772.64 = 4,403/x
  3. Step 3: Cross multiply
    7,806.32x = 10,772.64 × 4,403
  4. Step 4: Simplify right side
    7,806.32x = 47,431,933.92
  5. Step 5: Solve for x
    x = 47,431,933.92/7,806.32
  6. Step 6: Final answer
    x = 6,076.09

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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.