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Finding the Fourth Proportional to 12,991.92, 19,473.96 and 9,282.90

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Solution

The fourth proportional to 12,991.92, 19,473.96 and 9,282.90 is: 13,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.92 : 19,473.96 = 9,282.90 : x
  2. Step 2: Convert to fraction form
    12,991.92/19,473.96 = 9,282.90/x
  3. Step 3: Cross multiply
    12,991.92x = 19,473.96 × 9,282.90
  4. Step 4: Simplify right side
    12,991.92x = 180,774,823.28
  5. Step 5: Solve for x
    x = 180,774,823.28/12,991.92
  6. Step 6: Final answer
    x = 13,914.40

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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.