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Finding the Fourth Proportional to 7,806.42, 11,709.72 and 1,962.90

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Solution

The fourth proportional to 7,806.42, 11,709.72 and 1,962.90 is: 2,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.42 : 11,709.72 = 1,962.90 : x
  2. Step 2: Convert to fraction form
    7,806.42/11,709.72 = 1,962.90/x
  3. Step 3: Cross multiply
    7,806.42x = 11,709.72 × 1,962.90
  4. Step 4: Simplify right side
    7,806.42x = 22,985,009.39
  5. Step 5: Solve for x
    x = 22,985,009.39/7,806.42
  6. Step 6: Final answer
    x = 2,944.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.