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Finding the Fourth Proportional to 6,495.40, 9,743.10 and 2,113.30

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Solution

The fourth proportional to 6,495.40, 9,743.10 and 2,113.30 is: 3,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.40 : 9,743.10 = 2,113.30 : x
  2. Step 2: Convert to fraction form
    6,495.40/9,743.10 = 2,113.30/x
  3. Step 3: Cross multiply
    6,495.40x = 9,743.10 × 2,113.30
  4. Step 4: Simplify right side
    6,495.40x = 20,590,093.23
  5. Step 5: Solve for x
    x = 20,590,093.23/6,495.40
  6. Step 6: Final answer
    x = 3,169.95

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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.