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Finding the Fourth Proportional to 7,752.61, 11,628.93 and 1,909.22

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Solution

The fourth proportional to 7,752.61, 11,628.93 and 1,909.22 is: 2,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.61 : 11,628.93 = 1,909.22 : x
  2. Step 2: Convert to fraction form
    7,752.61/11,628.93 = 1,909.22/x
  3. Step 3: Cross multiply
    7,752.61x = 11,628.93 × 1,909.22
  4. Step 4: Simplify right side
    7,752.61x = 22,202,185.73
  5. Step 5: Solve for x
    x = 22,202,185.73/7,752.61
  6. Step 6: Final answer
    x = 2,863.83

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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.