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Finding the Fourth Proportional to 11,903.68, 16,423.05 and 6,867.78

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Solution

The fourth proportional to 11,903.68, 16,423.05 and 6,867.78 is: 9,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.68 : 16,423.05 = 6,867.78 : x
  2. Step 2: Convert to fraction form
    11,903.68/16,423.05 = 6,867.78/x
  3. Step 3: Cross multiply
    11,903.68x = 16,423.05 × 6,867.78
  4. Step 4: Simplify right side
    11,903.68x = 112,789,894.33
  5. Step 5: Solve for x
    x = 112,789,894.33/11,903.68
  6. Step 6: Final answer
    x = 9,475.21

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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.