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Finding the Fourth Proportional to 31,709.84, 47,560.62 and 11,985.84

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Solution

The fourth proportional to 31,709.84, 47,560.62 and 11,985.84 is: 17,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.84 : 47,560.62 = 11,985.84 : x
  2. Step 2: Convert to fraction form
    31,709.84/47,560.62 = 11,985.84/x
  3. Step 3: Cross multiply
    31,709.84x = 47,560.62 × 11,985.84
  4. Step 4: Simplify right side
    31,709.84x = 570,053,981.62
  5. Step 5: Solve for x
    x = 570,053,981.62/31,709.84
  6. Step 6: Final answer
    x = 17,977.20

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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.