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Finding the Fourth Proportional to 6,902.88, 10,339.92 and 5,730

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Solution

The fourth proportional to 6,902.88, 10,339.92 and 5,730 is: 8,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.88 : 10,339.92 = 5,730 : x
  2. Step 2: Convert to fraction form
    6,902.88/10,339.92 = 5,730/x
  3. Step 3: Cross multiply
    6,902.88x = 10,339.92 × 5,730
  4. Step 4: Simplify right side
    6,902.88x = 59,247,741.60
  5. Step 5: Solve for x
    x = 59,247,741.60/6,902.88
  6. Step 6: Final answer
    x = 8,583.05

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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.