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Finding the Fourth Proportional to 21,788.62, 32,678.78 and 8,461.62

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Solution

The fourth proportional to 21,788.62, 32,678.78 and 8,461.62 is: 12,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788.62 : 32,678.78 = 8,461.62 : x
  2. Step 2: Convert to fraction form
    21,788.62/32,678.78 = 8,461.62/x
  3. Step 3: Cross multiply
    21,788.62x = 32,678.78 × 8,461.62
  4. Step 4: Simplify right side
    21,788.62x = 276,515,376.12
  5. Step 5: Solve for x
    x = 276,515,376.12/21,788.62
  6. Step 6: Final answer
    x = 12,690.82

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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.