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Finding the Fourth Proportional to 6,937.70, 10,406.76 and 1,743.68

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Solution

The fourth proportional to 6,937.70, 10,406.76 and 1,743.68 is: 2,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.70 : 10,406.76 = 1,743.68 : x
  2. Step 2: Convert to fraction form
    6,937.70/10,406.76 = 1,743.68/x
  3. Step 3: Cross multiply
    6,937.70x = 10,406.76 × 1,743.68
  4. Step 4: Simplify right side
    6,937.70x = 18,146,059.28
  5. Step 5: Solve for x
    x = 18,146,059.28/6,937.70
  6. Step 6: Final answer
    x = 2,615.57

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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.