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Finding the Fourth Proportional to 9,420.92, 12,999.18 and 6,107

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Solution

The fourth proportional to 9,420.92, 12,999.18 and 6,107 is: 8,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.92 : 12,999.18 = 6,107 : x
  2. Step 2: Convert to fraction form
    9,420.92/12,999.18 = 6,107/x
  3. Step 3: Cross multiply
    9,420.92x = 12,999.18 × 6,107
  4. Step 4: Simplify right side
    9,420.92x = 79,385,992.26
  5. Step 5: Solve for x
    x = 79,385,992.26/9,420.92
  6. Step 6: Final answer
    x = 8,426.56

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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.