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Finding the Fourth Proportional to 10,035.74, 13,836.18 and 8,634.47

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Solution

The fourth proportional to 10,035.74, 13,836.18 and 8,634.47 is: 11,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.74 : 13,836.18 = 8,634.47 : x
  2. Step 2: Convert to fraction form
    10,035.74/13,836.18 = 8,634.47/x
  3. Step 3: Cross multiply
    10,035.74x = 13,836.18 × 8,634.47
  4. Step 4: Simplify right side
    10,035.74x = 119,468,115.72
  5. Step 5: Solve for x
    x = 119,468,115.72/10,035.74
  6. Step 6: Final answer
    x = 11,904.27

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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.