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Finding the Fourth Proportional to 9,294.86, 12,820.20 and 5,890.70

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Solution

The fourth proportional to 9,294.86, 12,820.20 and 5,890.70 is: 8,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.86 : 12,820.20 = 5,890.70 : x
  2. Step 2: Convert to fraction form
    9,294.86/12,820.20 = 5,890.70/x
  3. Step 3: Cross multiply
    9,294.86x = 12,820.20 × 5,890.70
  4. Step 4: Simplify right side
    9,294.86x = 75,519,952.14
  5. Step 5: Solve for x
    x = 75,519,952.14/9,294.86
  6. Step 6: Final answer
    x = 8,124.92

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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.