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Finding the Fourth Proportional to 12,690.76, 17,511.16 and 7,971.68

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Solution

The fourth proportional to 12,690.76, 17,511.16 and 7,971.68 is: 10,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.76 : 17,511.16 = 7,971.68 : x
  2. Step 2: Convert to fraction form
    12,690.76/17,511.16 = 7,971.68/x
  3. Step 3: Cross multiply
    12,690.76x = 17,511.16 × 7,971.68
  4. Step 4: Simplify right side
    12,690.76x = 139,593,363.95
  5. Step 5: Solve for x
    x = 139,593,363.95/12,690.76
  6. Step 6: Final answer
    x = 10,999.61

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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.