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Finding the Fourth Proportional to 3,506.72, 5,255.76 and 1,859.12

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Solution

The fourth proportional to 3,506.72, 5,255.76 and 1,859.12 is: 2,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.72 : 5,255.76 = 1,859.12 : x
  2. Step 2: Convert to fraction form
    3,506.72/5,255.76 = 1,859.12/x
  3. Step 3: Cross multiply
    3,506.72x = 5,255.76 × 1,859.12
  4. Step 4: Simplify right side
    3,506.72x = 9,771,088.53
  5. Step 5: Solve for x
    x = 9,771,088.53/3,506.72
  6. Step 6: Final answer
    x = 2,786.39

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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.