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Finding the Fourth Proportional to 6,947.84, 10,420.80 and 1,753.40

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Solution

The fourth proportional to 6,947.84, 10,420.80 and 1,753.40 is: 2,629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.84 : 10,420.80 = 1,753.40 : x
  2. Step 2: Convert to fraction form
    6,947.84/10,420.80 = 1,753.40/x
  3. Step 3: Cross multiply
    6,947.84x = 10,420.80 × 1,753.40
  4. Step 4: Simplify right side
    6,947.84x = 18,271,830.72
  5. Step 5: Solve for x
    x = 18,271,830.72/6,947.84
  6. Step 6: Final answer
    x = 2,629.86

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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.