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Finding the Fourth Proportional to 11,901.53, 16,423.47 and 6,865.45

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Solution

The fourth proportional to 11,901.53, 16,423.47 and 6,865.45 is: 9,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.53 : 16,423.47 = 6,865.45 : x
  2. Step 2: Convert to fraction form
    11,901.53/16,423.47 = 6,865.45/x
  3. Step 3: Cross multiply
    11,901.53x = 16,423.47 × 6,865.45
  4. Step 4: Simplify right side
    11,901.53x = 112,754,529.28
  5. Step 5: Solve for x
    x = 112,754,529.28/11,901.53
  6. Step 6: Final answer
    x = 9,473.95

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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.