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Finding the Fourth Proportional to 21,626.96, 32,416.44 and 9,928.40

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Solution

The fourth proportional to 21,626.96, 32,416.44 and 9,928.40 is: 14,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,626.96 : 32,416.44 = 9,928.40 : x
  2. Step 2: Convert to fraction form
    21,626.96/32,416.44 = 9,928.40/x
  3. Step 3: Cross multiply
    21,626.96x = 32,416.44 × 9,928.40
  4. Step 4: Simplify right side
    21,626.96x = 321,843,382.90
  5. Step 5: Solve for x
    x = 321,843,382.90/21,626.96
  6. Step 6: Final answer
    x = 14,881.58

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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.