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Finding the Fourth Proportional to 20,705.82, 31,059.93 and 5,913.60

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Solution

The fourth proportional to 20,705.82, 31,059.93 and 5,913.60 is: 8,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.82 : 31,059.93 = 5,913.60 : x
  2. Step 2: Convert to fraction form
    20,705.82/31,059.93 = 5,913.60/x
  3. Step 3: Cross multiply
    20,705.82x = 31,059.93 × 5,913.60
  4. Step 4: Simplify right side
    20,705.82x = 183,676,002.05
  5. Step 5: Solve for x
    x = 183,676,002.05/20,705.82
  6. Step 6: Final answer
    x = 8,870.74

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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.