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Finding the Fourth Proportional to 31,909.95, 47,866.73 and 9,724.05

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Solution

The fourth proportional to 31,909.95, 47,866.73 and 9,724.05 is: 14,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.95 : 47,866.73 = 9,724.05 : x
  2. Step 2: Convert to fraction form
    31,909.95/47,866.73 = 9,724.05/x
  3. Step 3: Cross multiply
    31,909.95x = 47,866.73 × 9,724.05
  4. Step 4: Simplify right side
    31,909.95x = 465,458,427.24
  5. Step 5: Solve for x
    x = 465,458,427.24/31,909.95
  6. Step 6: Final answer
    x = 14,586.62

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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.