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Finding the Fourth Proportional to 39,641.58, 59,462.70 and 31,724.40

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Solution

The fourth proportional to 39,641.58, 59,462.70 and 31,724.40 is: 47,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,641.58 : 59,462.70 = 31,724.40 : x
  2. Step 2: Convert to fraction form
    39,641.58/59,462.70 = 31,724.40/x
  3. Step 3: Cross multiply
    39,641.58x = 59,462.70 × 31,724.40
  4. Step 4: Simplify right side
    39,641.58x = 1,886,418,479.88
  5. Step 5: Solve for x
    x = 1,886,418,479.88/39,641.58
  6. Step 6: Final answer
    x = 47,586.86

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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.