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Finding the Fourth Proportional to 3,091.30, 4,636.95 and 2,981.95

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Solution

The fourth proportional to 3,091.30, 4,636.95 and 2,981.95 is: 4,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.30 : 4,636.95 = 2,981.95 : x
  2. Step 2: Convert to fraction form
    3,091.30/4,636.95 = 2,981.95/x
  3. Step 3: Cross multiply
    3,091.30x = 4,636.95 × 2,981.95
  4. Step 4: Simplify right side
    3,091.30x = 13,827,153.05
  5. Step 5: Solve for x
    x = 13,827,153.05/3,091.30
  6. Step 6: Final answer
    x = 4,472.93

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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.