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Finding the Fourth Proportional to 31,615.26, 47,421.80 and 7,923.02

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Solution

The fourth proportional to 31,615.26, 47,421.80 and 7,923.02 is: 11,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.26 : 47,421.80 = 7,923.02 : x
  2. Step 2: Convert to fraction form
    31,615.26/47,421.80 = 7,923.02/x
  3. Step 3: Cross multiply
    31,615.26x = 47,421.80 × 7,923.02
  4. Step 4: Simplify right side
    31,615.26x = 375,723,593.11
  5. Step 5: Solve for x
    x = 375,723,593.11/31,615.26
  6. Step 6: Final answer
    x = 11,884.25

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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.