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Finding the Fourth Proportional to 2,909.25, 4,364.16 and 934.38

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Solution

The fourth proportional to 2,909.25, 4,364.16 and 934.38 is: 1,401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.25 : 4,364.16 = 934.38 : x
  2. Step 2: Convert to fraction form
    2,909.25/4,364.16 = 934.38/x
  3. Step 3: Cross multiply
    2,909.25x = 4,364.16 × 934.38
  4. Step 4: Simplify right side
    2,909.25x = 4,077,783.82
  5. Step 5: Solve for x
    x = 4,077,783.82/2,909.25
  6. Step 6: Final answer
    x = 1,401.66

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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.