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Finding the Fourth Proportional to 12,511.71, 17,263.46 and 7,976.12

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Solution

The fourth proportional to 12,511.71, 17,263.46 and 7,976.12 is: 11,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.71 : 17,263.46 = 7,976.12 : x
  2. Step 2: Convert to fraction form
    12,511.71/17,263.46 = 7,976.12/x
  3. Step 3: Cross multiply
    12,511.71x = 17,263.46 × 7,976.12
  4. Step 4: Simplify right side
    12,511.71x = 137,695,302.38
  5. Step 5: Solve for x
    x = 137,695,302.38/12,511.71
  6. Step 6: Final answer
    x = 11,005.31

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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.