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Finding the Fourth Proportional to 2,370.31, 3,556.07 and 909.57

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Solution

The fourth proportional to 2,370.31, 3,556.07 and 909.57 is: 1,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.31 : 3,556.07 = 909.57 : x
  2. Step 2: Convert to fraction form
    2,370.31/3,556.07 = 909.57/x
  3. Step 3: Cross multiply
    2,370.31x = 3,556.07 × 909.57
  4. Step 4: Simplify right side
    2,370.31x = 3,234,506.79
  5. Step 5: Solve for x
    x = 3,234,506.79/2,370.31
  6. Step 6: Final answer
    x = 1,364.59

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1.5x scale

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.