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Finding the Fourth Proportional to 7,800.31, 11,705.93 and 4,508.87

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Solution

The fourth proportional to 7,800.31, 11,705.93 and 4,508.87 is: 6,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.31 : 11,705.93 = 4,508.87 : x
  2. Step 2: Convert to fraction form
    7,800.31/11,705.93 = 4,508.87/x
  3. Step 3: Cross multiply
    7,800.31x = 11,705.93 × 4,508.87
  4. Step 4: Simplify right side
    7,800.31x = 52,780,516.60
  5. Step 5: Solve for x
    x = 52,780,516.60/7,800.31
  6. Step 6: Final answer
    x = 6,766.46

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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.