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Finding the Fourth Proportional to 3,134.76, 4,701.49 and 913.33

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Solution

The fourth proportional to 3,134.76, 4,701.49 and 913.33 is: 1,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.76 : 4,701.49 = 913.33 : x
  2. Step 2: Convert to fraction form
    3,134.76/4,701.49 = 913.33/x
  3. Step 3: Cross multiply
    3,134.76x = 4,701.49 × 913.33
  4. Step 4: Simplify right side
    3,134.76x = 4,294,011.86
  5. Step 5: Solve for x
    x = 4,294,011.86/3,134.76
  6. Step 6: Final answer
    x = 1,369.81

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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.