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Finding the Fourth Proportional to 6,643.70, 9,946.20 and 5,178.38

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Solution

The fourth proportional to 6,643.70, 9,946.20 and 5,178.38 is: 7,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.70 : 9,946.20 = 5,178.38 : x
  2. Step 2: Convert to fraction form
    6,643.70/9,946.20 = 5,178.38/x
  3. Step 3: Cross multiply
    6,643.70x = 9,946.20 × 5,178.38
  4. Step 4: Simplify right side
    6,643.70x = 51,505,203.16
  5. Step 5: Solve for x
    x = 51,505,203.16/6,643.70
  6. Step 6: Final answer
    x = 7,752.49

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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.