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Finding the Fourth Proportional to 10,838.92, 14,958 and 6,644.76

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Solution

The fourth proportional to 10,838.92, 14,958 and 6,644.76 is: 9,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.92 : 14,958 = 6,644.76 : x
  2. Step 2: Convert to fraction form
    10,838.92/14,958 = 6,644.76/x
  3. Step 3: Cross multiply
    10,838.92x = 14,958 × 6,644.76
  4. Step 4: Simplify right side
    10,838.92x = 99,392,320.08
  5. Step 5: Solve for x
    x = 99,392,320.08/10,838.92
  6. Step 6: Final answer
    x = 9,169.95

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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.