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Finding the Fourth Proportional to 20,931, 31,398.56 and 6,885.32

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Solution

The fourth proportional to 20,931, 31,398.56 and 6,885.32 is: 10,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931 : 31,398.56 = 6,885.32 : x
  2. Step 2: Convert to fraction form
    20,931/31,398.56 = 6,885.32/x
  3. Step 3: Cross multiply
    20,931x = 31,398.56 × 6,885.32
  4. Step 4: Simplify right side
    20,931x = 216,189,133.14
  5. Step 5: Solve for x
    x = 216,189,133.14/20,931
  6. Step 6: Final answer
    x = 10,328.66

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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.