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Finding the Fourth Proportional to 11,690.76, 16,132.84 and 6,972.60

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Solution

The fourth proportional to 11,690.76, 16,132.84 and 6,972.60 is: 9,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.76 : 16,132.84 = 6,972.60 : x
  2. Step 2: Convert to fraction form
    11,690.76/16,132.84 = 6,972.60/x
  3. Step 3: Cross multiply
    11,690.76x = 16,132.84 × 6,972.60
  4. Step 4: Simplify right side
    11,690.76x = 112,487,840.18
  5. Step 5: Solve for x
    x = 112,487,840.18/11,690.76
  6. Step 6: Final answer
    x = 9,621.94

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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.