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Finding the Fourth Proportional to 7,806.40, 10,774.78 and 4,451.20

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Solution

The fourth proportional to 7,806.40, 10,774.78 and 4,451.20 is: 6,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.40 : 10,774.78 = 4,451.20 : x
  2. Step 2: Convert to fraction form
    7,806.40/10,774.78 = 4,451.20/x
  3. Step 3: Cross multiply
    7,806.40x = 10,774.78 × 4,451.20
  4. Step 4: Simplify right side
    7,806.40x = 47,960,662.67
  5. Step 5: Solve for x
    x = 47,960,662.67/7,806.40
  6. Step 6: Final answer
    x = 6,143.76

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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.