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Finding the Fourth Proportional to 20,319.68, 27,978.82 and 17,787.62

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Solution

The fourth proportional to 20,319.68, 27,978.82 and 17,787.62 is: 24,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,319.68 : 27,978.82 = 17,787.62 : x
  2. Step 2: Convert to fraction form
    20,319.68/27,978.82 = 17,787.62/x
  3. Step 3: Cross multiply
    20,319.68x = 27,978.82 × 17,787.62
  4. Step 4: Simplify right side
    20,319.68x = 497,676,618.21
  5. Step 5: Solve for x
    x = 497,676,618.21/20,319.68
  6. Step 6: Final answer
    x = 24,492.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.