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Finding the Fourth Proportional to 5,984.34, 8,990.28 and 3,770.10

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Solution

The fourth proportional to 5,984.34, 8,990.28 and 3,770.10 is: 5,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.34 : 8,990.28 = 3,770.10 : x
  2. Step 2: Convert to fraction form
    5,984.34/8,990.28 = 3,770.10/x
  3. Step 3: Cross multiply
    5,984.34x = 8,990.28 × 3,770.10
  4. Step 4: Simplify right side
    5,984.34x = 33,894,254.63
  5. Step 5: Solve for x
    x = 33,894,254.63/5,984.34
  6. Step 6: Final answer
    x = 5,663.83

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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.