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Finding the Fourth Proportional to 2,909.66, 4,363.11 and 1,059.47

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Solution

The fourth proportional to 2,909.66, 4,363.11 and 1,059.47 is: 1,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.66 : 4,363.11 = 1,059.47 : x
  2. Step 2: Convert to fraction form
    2,909.66/4,363.11 = 1,059.47/x
  3. Step 3: Cross multiply
    2,909.66x = 4,363.11 × 1,059.47
  4. Step 4: Simplify right side
    2,909.66x = 4,622,584.15
  5. Step 5: Solve for x
    x = 4,622,584.15/2,909.66
  6. Step 6: Final answer
    x = 1,588.70

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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.