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Finding the Fourth Proportional to 32,149, 44,365.62 and 20,971

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Solution

The fourth proportional to 32,149, 44,365.62 and 20,971 is: 28,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149 : 44,365.62 = 20,971 : x
  2. Step 2: Convert to fraction form
    32,149/44,365.62 = 20,971/x
  3. Step 3: Cross multiply
    32,149x = 44,365.62 × 20,971
  4. Step 4: Simplify right side
    32,149x = 930,391,417.02
  5. Step 5: Solve for x
    x = 930,391,417.02/32,149
  6. Step 6: Final answer
    x = 28,939.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.