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Finding the Fourth Proportional to 7,806.11, 10,772.06 and 4,449.06

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Solution

The fourth proportional to 7,806.11, 10,772.06 and 4,449.06 is: 6,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.11 : 10,772.06 = 4,449.06 : x
  2. Step 2: Convert to fraction form
    7,806.11/10,772.06 = 4,449.06/x
  3. Step 3: Cross multiply
    7,806.11x = 10,772.06 × 4,449.06
  4. Step 4: Simplify right side
    7,806.11x = 47,925,519.02
  5. Step 5: Solve for x
    x = 47,925,519.02/7,806.11
  6. Step 6: Final answer
    x = 6,139.49

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1.5x scale

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.