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Finding the Fourth Proportional to 2,930.95, 4,397.16 and 2,066.95

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Solution

The fourth proportional to 2,930.95, 4,397.16 and 2,066.95 is: 3,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.95 : 4,397.16 = 2,066.95 : x
  2. Step 2: Convert to fraction form
    2,930.95/4,397.16 = 2,066.95/x
  3. Step 3: Cross multiply
    2,930.95x = 4,397.16 × 2,066.95
  4. Step 4: Simplify right side
    2,930.95x = 9,088,709.86
  5. Step 5: Solve for x
    x = 9,088,709.86/2,930.95
  6. Step 6: Final answer
    x = 3,100.94

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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.