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Finding the Fourth Proportional to 6,402.61, 9,605.22 and 3,630.52

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Solution

The fourth proportional to 6,402.61, 9,605.22 and 3,630.52 is: 5,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.61 : 9,605.22 = 3,630.52 : x
  2. Step 2: Convert to fraction form
    6,402.61/9,605.22 = 3,630.52/x
  3. Step 3: Cross multiply
    6,402.61x = 9,605.22 × 3,630.52
  4. Step 4: Simplify right side
    6,402.61x = 34,871,877.14
  5. Step 5: Solve for x
    x = 34,871,877.14/6,402.61
  6. Step 6: Final answer
    x = 5,446.51

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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.