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Finding the Fourth Proportional to 6,646.70, 9,963.65 and 5,165.10

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Solution

The fourth proportional to 6,646.70, 9,963.65 and 5,165.10 is: 7,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.70 : 9,963.65 = 5,165.10 : x
  2. Step 2: Convert to fraction form
    6,646.70/9,963.65 = 5,165.10/x
  3. Step 3: Cross multiply
    6,646.70x = 9,963.65 × 5,165.10
  4. Step 4: Simplify right side
    6,646.70x = 51,463,248.62
  5. Step 5: Solve for x
    x = 51,463,248.62/6,646.70
  6. Step 6: Final answer
    x = 7,742.68

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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.