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Finding the Fourth Proportional to 6,708.70, 10,064.76 and 3,421.72

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Solution

The fourth proportional to 6,708.70, 10,064.76 and 3,421.72 is: 5,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.70 : 10,064.76 = 3,421.72 : x
  2. Step 2: Convert to fraction form
    6,708.70/10,064.76 = 3,421.72/x
  3. Step 3: Cross multiply
    6,708.70x = 10,064.76 × 3,421.72
  4. Step 4: Simplify right side
    6,708.70x = 34,438,790.59
  5. Step 5: Solve for x
    x = 34,438,790.59/6,708.70
  6. Step 6: Final answer
    x = 5,133.45

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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.