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Finding the Fourth Proportional to 2,506.77, 3,760.28 and 1,520.64

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Solution

The fourth proportional to 2,506.77, 3,760.28 and 1,520.64 is: 2,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.77 : 3,760.28 = 1,520.64 : x
  2. Step 2: Convert to fraction form
    2,506.77/3,760.28 = 1,520.64/x
  3. Step 3: Cross multiply
    2,506.77x = 3,760.28 × 1,520.64
  4. Step 4: Simplify right side
    2,506.77x = 5,718,024.58
  5. Step 5: Solve for x
    x = 5,718,024.58/2,506.77
  6. Step 6: Final answer
    x = 2,281.03

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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.