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Finding the Fourth Proportional to 20,870.59, 31,311 and 6,079.64

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Solution

The fourth proportional to 20,870.59, 31,311 and 6,079.64 is: 9,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.59 : 31,311 = 6,079.64 : x
  2. Step 2: Convert to fraction form
    20,870.59/31,311 = 6,079.64/x
  3. Step 3: Cross multiply
    20,870.59x = 31,311 × 6,079.64
  4. Step 4: Simplify right side
    20,870.59x = 190,359,608.04
  5. Step 5: Solve for x
    x = 190,359,608.04/20,870.59
  6. Step 6: Final answer
    x = 9,120.95

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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.