Home / 31,537-47,304.18-7,844.56

Finding the Fourth Proportional to 31,537, 47,304.18 and 7,844.56

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Solution

The fourth proportional to 31,537, 47,304.18 and 7,844.56 is: 11,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,537 : 47,304.18 = 7,844.56 : x
  2. Step 2: Convert to fraction form
    31,537/47,304.18 = 7,844.56/x
  3. Step 3: Cross multiply
    31,537x = 47,304.18 × 7,844.56
  4. Step 4: Simplify right side
    31,537x = 371,080,478.26
  5. Step 5: Solve for x
    x = 371,080,478.26/31,537
  6. Step 6: Final answer
    x = 11,766.51

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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.