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Finding the Fourth Proportional to 34,617, 47,771.46 and 19,715.88

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Solution

The fourth proportional to 34,617, 47,771.46 and 19,715.88 is: 27,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,617 : 47,771.46 = 19,715.88 : x
  2. Step 2: Convert to fraction form
    34,617/47,771.46 = 19,715.88/x
  3. Step 3: Cross multiply
    34,617x = 47,771.46 × 19,715.88
  4. Step 4: Simplify right side
    34,617x = 941,856,372.78
  5. Step 5: Solve for x
    x = 941,856,372.78/34,617
  6. Step 6: Final answer
    x = 27,207.91

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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.