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Finding the Fourth Proportional to 20,897.70, 31,347 and 5,315.32

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Solution

The fourth proportional to 20,897.70, 31,347 and 5,315.32 is: 7,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.70 : 31,347 = 5,315.32 : x
  2. Step 2: Convert to fraction form
    20,897.70/31,347 = 5,315.32/x
  3. Step 3: Cross multiply
    20,897.70x = 31,347 × 5,315.32
  4. Step 4: Simplify right side
    20,897.70x = 166,619,375.22
  5. Step 5: Solve for x
    x = 166,619,375.22/20,897.70
  6. Step 6: Final answer
    x = 7,973.10

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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.