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Finding the Fourth Proportional to 11,906.20, 16,421.02 and 7,421.40

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Solution

The fourth proportional to 11,906.20, 16,421.02 and 7,421.40 is: 10,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.20 : 16,421.02 = 7,421.40 : x
  2. Step 2: Convert to fraction form
    11,906.20/16,421.02 = 7,421.40/x
  3. Step 3: Cross multiply
    11,906.20x = 16,421.02 × 7,421.40
  4. Step 4: Simplify right side
    11,906.20x = 121,866,957.83
  5. Step 5: Solve for x
    x = 121,866,957.83/11,906.20
  6. Step 6: Final answer
    x = 10,235.59

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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.