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Finding the Fourth Proportional to 21,677.76, 32,515.90 and 9,189.74

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Solution

The fourth proportional to 21,677.76, 32,515.90 and 9,189.74 is: 13,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.76 : 32,515.90 = 9,189.74 : x
  2. Step 2: Convert to fraction form
    21,677.76/32,515.90 = 9,189.74/x
  3. Step 3: Cross multiply
    21,677.76x = 32,515.90 × 9,189.74
  4. Step 4: Simplify right side
    21,677.76x = 298,812,725.18
  5. Step 5: Solve for x
    x = 298,812,725.18/21,677.76
  6. Step 6: Final answer
    x = 13,784.30

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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.