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Finding the Fourth Proportional to 20,931, 31,410.90 and 8,619

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Solution

The fourth proportional to 20,931, 31,410.90 and 8,619 is: 12,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931 : 31,410.90 = 8,619 : x
  2. Step 2: Convert to fraction form
    20,931/31,410.90 = 8,619/x
  3. Step 3: Cross multiply
    20,931x = 31,410.90 × 8,619
  4. Step 4: Simplify right side
    20,931x = 270,730,547.10
  5. Step 5: Solve for x
    x = 270,730,547.10/20,931
  6. Step 6: Final answer
    x = 12,934.43

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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.