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Finding the Fourth Proportional to 20,298.66, 27,996.30 and 13,031.46

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Solution

The fourth proportional to 20,298.66, 27,996.30 and 13,031.46 is: 17,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.66 : 27,996.30 = 13,031.46 : x
  2. Step 2: Convert to fraction form
    20,298.66/27,996.30 = 13,031.46/x
  3. Step 3: Cross multiply
    20,298.66x = 27,996.30 × 13,031.46
  4. Step 4: Simplify right side
    20,298.66x = 364,832,663.60
  5. Step 5: Solve for x
    x = 364,832,663.60/20,298.66
  6. Step 6: Final answer
    x = 17,973.24

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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.