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Finding the Fourth Proportional to 11,901.64, 16,420.51 and 6,865.18

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Solution

The fourth proportional to 11,901.64, 16,420.51 and 6,865.18 is: 9,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.64 : 16,420.51 = 6,865.18 : x
  2. Step 2: Convert to fraction form
    11,901.64/16,420.51 = 6,865.18/x
  3. Step 3: Cross multiply
    11,901.64x = 16,420.51 × 6,865.18
  4. Step 4: Simplify right side
    11,901.64x = 112,729,756.84
  5. Step 5: Solve for x
    x = 112,729,756.84/11,901.64
  6. Step 6: Final answer
    x = 9,471.78

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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.