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Finding the Fourth Proportional to 6,402.70, 9,603.24 and 2,020.60

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Solution

The fourth proportional to 6,402.70, 9,603.24 and 2,020.60 is: 3,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.70 : 9,603.24 = 2,020.60 : x
  2. Step 2: Convert to fraction form
    6,402.70/9,603.24 = 2,020.60/x
  3. Step 3: Cross multiply
    6,402.70x = 9,603.24 × 2,020.60
  4. Step 4: Simplify right side
    6,402.70x = 19,404,306.74
  5. Step 5: Solve for x
    x = 19,404,306.74/6,402.70
  6. Step 6: Final answer
    x = 3,030.64

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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.