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Finding the Fourth Proportional to 10,934.64, 16,409.82 and 7,415.88

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Solution

The fourth proportional to 10,934.64, 16,409.82 and 7,415.88 is: 11,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.64 : 16,409.82 = 7,415.88 : x
  2. Step 2: Convert to fraction form
    10,934.64/16,409.82 = 7,415.88/x
  3. Step 3: Cross multiply
    10,934.64x = 16,409.82 × 7,415.88
  4. Step 4: Simplify right side
    10,934.64x = 121,693,255.94
  5. Step 5: Solve for x
    x = 121,693,255.94/10,934.64
  6. Step 6: Final answer
    x = 11,129.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.