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Finding the Fourth Proportional to 2,369.50, 3,554.24 and 909.68

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Solution

The fourth proportional to 2,369.50, 3,554.24 and 909.68 is: 1,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.50 : 3,554.24 = 909.68 : x
  2. Step 2: Convert to fraction form
    2,369.50/3,554.24 = 909.68/x
  3. Step 3: Cross multiply
    2,369.50x = 3,554.24 × 909.68
  4. Step 4: Simplify right side
    2,369.50x = 3,233,205.55
  5. Step 5: Solve for x
    x = 3,233,205.55/2,369.50
  6. Step 6: Final answer
    x = 1,364.51

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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.