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Finding the Fourth Proportional to 34,584, 47,721.60 and 19,474.56

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Solution

The fourth proportional to 34,584, 47,721.60 and 19,474.56 is: 26,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,584 : 47,721.60 = 19,474.56 : x
  2. Step 2: Convert to fraction form
    34,584/47,721.60 = 19,474.56/x
  3. Step 3: Cross multiply
    34,584x = 47,721.60 × 19,474.56
  4. Step 4: Simplify right side
    34,584x = 929,357,162.50
  5. Step 5: Solve for x
    x = 929,357,162.50/34,584
  6. Step 6: Final answer
    x = 26,872.46

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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.