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Finding the Fourth Proportional to 4,931.90, 7,391.55 and 2,006.90

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Solution

The fourth proportional to 4,931.90, 7,391.55 and 2,006.90 is: 3,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.90 : 7,391.55 = 2,006.90 : x
  2. Step 2: Convert to fraction form
    4,931.90/7,391.55 = 2,006.90/x
  3. Step 3: Cross multiply
    4,931.90x = 7,391.55 × 2,006.90
  4. Step 4: Simplify right side
    4,931.90x = 14,834,101.70
  5. Step 5: Solve for x
    x = 14,834,101.70/4,931.90
  6. Step 6: Final answer
    x = 3,007.79

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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.