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Finding the Fourth Proportional to 7,860.46, 11,790.82 and 6,293.20

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Solution

The fourth proportional to 7,860.46, 11,790.82 and 6,293.20 is: 9,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.46 : 11,790.82 = 6,293.20 : x
  2. Step 2: Convert to fraction form
    7,860.46/11,790.82 = 6,293.20/x
  3. Step 3: Cross multiply
    7,860.46x = 11,790.82 × 6,293.20
  4. Step 4: Simplify right side
    7,860.46x = 74,201,988.42
  5. Step 5: Solve for x
    x = 74,201,988.42/7,860.46
  6. Step 6: Final answer
    x = 9,439.90

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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.