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Finding the Fourth Proportional to 47,084, 64,981.70 and 27,212

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Solution

The fourth proportional to 47,084, 64,981.70 and 27,212 is: 37,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,084 : 64,981.70 = 27,212 : x
  2. Step 2: Convert to fraction form
    47,084/64,981.70 = 27,212/x
  3. Step 3: Cross multiply
    47,084x = 64,981.70 × 27,212
  4. Step 4: Simplify right side
    47,084x = 1,768,281,884.34
  5. Step 5: Solve for x
    x = 1,768,281,884.34/47,084
  6. Step 6: Final answer
    x = 37,555.90

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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.