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Finding the Fourth Proportional to 9,420.42, 12,998.49 and 6,106.50

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Solution

The fourth proportional to 9,420.42, 12,998.49 and 6,106.50 is: 8,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.42 : 12,998.49 = 6,106.50 : x
  2. Step 2: Convert to fraction form
    9,420.42/12,998.49 = 6,106.50/x
  3. Step 3: Cross multiply
    9,420.42x = 12,998.49 × 6,106.50
  4. Step 4: Simplify right side
    9,420.42x = 79,375,279.19
  5. Step 5: Solve for x
    x = 79,375,279.19/9,420.42
  6. Step 6: Final answer
    x = 8,425.87

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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.