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Finding the Fourth Proportional to 34,283.56, 47,310.02 and 19,379.88

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Solution

The fourth proportional to 34,283.56, 47,310.02 and 19,379.88 is: 26,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,283.56 : 47,310.02 = 19,379.88 : x
  2. Step 2: Convert to fraction form
    34,283.56/47,310.02 = 19,379.88/x
  3. Step 3: Cross multiply
    34,283.56x = 47,310.02 × 19,379.88
  4. Step 4: Simplify right side
    34,283.56x = 916,862,510.40
  5. Step 5: Solve for x
    x = 916,862,510.40/34,283.56
  6. Step 6: Final answer
    x = 26,743.50

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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.