Home / 31,824.78-47,724.03-13,814.16

Finding the Fourth Proportional to 31,824.78, 47,724.03 and 13,814.16

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Solution

The fourth proportional to 31,824.78, 47,724.03 and 13,814.16 is: 20,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,824.78 : 47,724.03 = 13,814.16 : x
  2. Step 2: Convert to fraction form
    31,824.78/47,724.03 = 13,814.16/x
  3. Step 3: Cross multiply
    31,824.78x = 47,724.03 × 13,814.16
  4. Step 4: Simplify right side
    31,824.78x = 659,267,386.26
  5. Step 5: Solve for x
    x = 659,267,386.26/31,824.78
  6. Step 6: Final answer
    x = 20,715.54

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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.