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Finding the Fourth Proportional to 31,666.72, 43,681 and 20,911.68

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Solution

The fourth proportional to 31,666.72, 43,681 and 20,911.68 is: 28,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.72 : 43,681 = 20,911.68 : x
  2. Step 2: Convert to fraction form
    31,666.72/43,681 = 20,911.68/x
  3. Step 3: Cross multiply
    31,666.72x = 43,681 × 20,911.68
  4. Step 4: Simplify right side
    31,666.72x = 913,443,094.08
  5. Step 5: Solve for x
    x = 913,443,094.08/31,666.72
  6. Step 6: Final answer
    x = 28,845.52

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