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Finding the Fourth Proportional to 11,947.76, 16,487.76 and 6,642.44

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Solution

The fourth proportional to 11,947.76, 16,487.76 and 6,642.44 is: 9,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.76 : 16,487.76 = 6,642.44 : x
  2. Step 2: Convert to fraction form
    11,947.76/16,487.76 = 6,642.44/x
  3. Step 3: Cross multiply
    11,947.76x = 16,487.76 × 6,642.44
  4. Step 4: Simplify right side
    11,947.76x = 109,518,956.53
  5. Step 5: Solve for x
    x = 109,518,956.53/11,947.76
  6. Step 6: Final answer
    x = 9,166.48

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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.