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Finding the Fourth Proportional to 21,928.53, 32,909.81 and 8,782.23

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Solution

The fourth proportional to 21,928.53, 32,909.81 and 8,782.23 is: 13,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,928.53 : 32,909.81 = 8,782.23 : x
  2. Step 2: Convert to fraction form
    21,928.53/32,909.81 = 8,782.23/x
  3. Step 3: Cross multiply
    21,928.53x = 32,909.81 × 8,782.23
  4. Step 4: Simplify right side
    21,928.53x = 289,021,476.77
  5. Step 5: Solve for x
    x = 289,021,476.77/21,928.53
  6. Step 6: Final answer
    x = 13,180.16

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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.