Home / 31,382-47,077.40-9,196.96

Finding the Fourth Proportional to 31,382, 47,077.40 and 9,196.96

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Solution

The fourth proportional to 31,382, 47,077.40 and 9,196.96 is: 13,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382 : 47,077.40 = 9,196.96 : x
  2. Step 2: Convert to fraction form
    31,382/47,077.40 = 9,196.96/x
  3. Step 3: Cross multiply
    31,382x = 47,077.40 × 9,196.96
  4. Step 4: Simplify right side
    31,382x = 432,968,964.70
  5. Step 5: Solve for x
    x = 432,968,964.70/31,382
  6. Step 6: Final answer
    x = 13,796.73

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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.