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Finding the Fourth Proportional to 2,758.48, 4,136.32 and 909.20

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Solution

The fourth proportional to 2,758.48, 4,136.32 and 909.20 is: 1,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.48 : 4,136.32 = 909.20 : x
  2. Step 2: Convert to fraction form
    2,758.48/4,136.32 = 909.20/x
  3. Step 3: Cross multiply
    2,758.48x = 4,136.32 × 909.20
  4. Step 4: Simplify right side
    2,758.48x = 3,760,742.14
  5. Step 5: Solve for x
    x = 3,760,742.14/2,758.48
  6. Step 6: Final answer
    x = 1,363.34

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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.