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Finding the Fourth Proportional to 5,308.81, 7,963.33 and 1,931.49

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Solution

The fourth proportional to 5,308.81, 7,963.33 and 1,931.49 is: 2,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.81 : 7,963.33 = 1,931.49 : x
  2. Step 2: Convert to fraction form
    5,308.81/7,963.33 = 1,931.49/x
  3. Step 3: Cross multiply
    5,308.81x = 7,963.33 × 1,931.49
  4. Step 4: Simplify right side
    5,308.81x = 15,381,042.79
  5. Step 5: Solve for x
    x = 15,381,042.79/5,308.81
  6. Step 6: Final answer
    x = 2,897.27

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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.