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Finding the Fourth Proportional to 9,422.90, 12,998.86 and 6,438.86

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Solution

The fourth proportional to 9,422.90, 12,998.86 and 6,438.86 is: 8,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.90 : 12,998.86 = 6,438.86 : x
  2. Step 2: Convert to fraction form
    9,422.90/12,998.86 = 6,438.86/x
  3. Step 3: Cross multiply
    9,422.90x = 12,998.86 × 6,438.86
  4. Step 4: Simplify right side
    9,422.90x = 83,697,774.71
  5. Step 5: Solve for x
    x = 83,697,774.71/9,422.90
  6. Step 6: Final answer
    x = 8,882.38

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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.