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Finding the Fourth Proportional to 5,770.96, 8,654.64 and 3,688

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Solution

The fourth proportional to 5,770.96, 8,654.64 and 3,688 is: 5,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.96 : 8,654.64 = 3,688 : x
  2. Step 2: Convert to fraction form
    5,770.96/8,654.64 = 3,688/x
  3. Step 3: Cross multiply
    5,770.96x = 8,654.64 × 3,688
  4. Step 4: Simplify right side
    5,770.96x = 31,918,312.32
  5. Step 5: Solve for x
    x = 31,918,312.32/5,770.96
  6. Step 6: Final answer
    x = 5,530.85

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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.