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Finding the Fourth Proportional to 2,666.66, 4,007.07 and 1,434.95

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Solution

The fourth proportional to 2,666.66, 4,007.07 and 1,434.95 is: 2,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.66 : 4,007.07 = 1,434.95 : x
  2. Step 2: Convert to fraction form
    2,666.66/4,007.07 = 1,434.95/x
  3. Step 3: Cross multiply
    2,666.66x = 4,007.07 × 1,434.95
  4. Step 4: Simplify right side
    2,666.66x = 5,749,940.09
  5. Step 5: Solve for x
    x = 5,749,940.09/2,666.66
  6. Step 6: Final answer
    x = 2,156.24

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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.