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Finding the Fourth Proportional to 11,865, 16,373.73 and 6,487.78

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Solution

The fourth proportional to 11,865, 16,373.73 and 6,487.78 is: 8,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865 : 16,373.73 = 6,487.78 : x
  2. Step 2: Convert to fraction form
    11,865/16,373.73 = 6,487.78/x
  3. Step 3: Cross multiply
    11,865x = 16,373.73 × 6,487.78
  4. Step 4: Simplify right side
    11,865x = 106,229,182.73
  5. Step 5: Solve for x
    x = 106,229,182.73/11,865
  6. Step 6: Final answer
    x = 8,953.15

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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.