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Finding the Fourth Proportional to 2,370.75, 3,557.15 and 909.72

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Solution

The fourth proportional to 2,370.75, 3,557.15 and 909.72 is: 1,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.75 : 3,557.15 = 909.72 : x
  2. Step 2: Convert to fraction form
    2,370.75/3,557.15 = 909.72/x
  3. Step 3: Cross multiply
    2,370.75x = 3,557.15 × 909.72
  4. Step 4: Simplify right side
    2,370.75x = 3,236,005.95
  5. Step 5: Solve for x
    x = 3,236,005.95/2,370.75
  6. Step 6: Final answer
    x = 1,364.97

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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.