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Finding the Fourth Proportional to 7,806.92, 10,772.46 and 4,449.08

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Solution

The fourth proportional to 7,806.92, 10,772.46 and 4,449.08 is: 6,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.92 : 10,772.46 = 4,449.08 : x
  2. Step 2: Convert to fraction form
    7,806.92/10,772.46 = 4,449.08/x
  3. Step 3: Cross multiply
    7,806.92x = 10,772.46 × 4,449.08
  4. Step 4: Simplify right side
    7,806.92x = 47,927,502.67
  5. Step 5: Solve for x
    x = 47,927,502.67/7,806.92
  6. Step 6: Final answer
    x = 6,139.11

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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.