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Finding the Fourth Proportional to 27,370, 37,787.84 and 20,984.76

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Solution

The fourth proportional to 27,370, 37,787.84 and 20,984.76 is: 28,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,370 : 37,787.84 = 20,984.76 : x
  2. Step 2: Convert to fraction form
    27,370/37,787.84 = 20,984.76/x
  3. Step 3: Cross multiply
    27,370x = 37,787.84 × 20,984.76
  4. Step 4: Simplify right side
    27,370x = 792,968,753.32
  5. Step 5: Solve for x
    x = 792,968,753.32/27,370
  6. Step 6: Final answer
    x = 28,972.19

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Half scale
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Double scale
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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.