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Finding the Fourth Proportional to 6,645.89, 9,963.17 and 2,946.10

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Solution

The fourth proportional to 6,645.89, 9,963.17 and 2,946.10 is: 4,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.89 : 9,963.17 = 2,946.10 : x
  2. Step 2: Convert to fraction form
    6,645.89/9,963.17 = 2,946.10/x
  3. Step 3: Cross multiply
    6,645.89x = 9,963.17 × 2,946.10
  4. Step 4: Simplify right side
    6,645.89x = 29,352,495.14
  5. Step 5: Solve for x
    x = 29,352,495.14/6,645.89
  6. Step 6: Final answer
    x = 4,416.64

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1.5x scale

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.