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Finding the Fourth Proportional to 6,947, 10,420.48 and 1,753.28

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Solution

The fourth proportional to 6,947, 10,420.48 and 1,753.28 is: 2,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947 : 10,420.48 = 1,753.28 : x
  2. Step 2: Convert to fraction form
    6,947/10,420.48 = 1,753.28/x
  3. Step 3: Cross multiply
    6,947x = 10,420.48 × 1,753.28
  4. Step 4: Simplify right side
    6,947x = 18,270,019.17
  5. Step 5: Solve for x
    x = 18,270,019.17/6,947
  6. Step 6: Final answer
    x = 2,629.91

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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.