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Finding the Fourth Proportional to 2,752.64, 4,130.10 and 1,519.94

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Solution

The fourth proportional to 2,752.64, 4,130.10 and 1,519.94 is: 2,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.64 : 4,130.10 = 1,519.94 : x
  2. Step 2: Convert to fraction form
    2,752.64/4,130.10 = 1,519.94/x
  3. Step 3: Cross multiply
    2,752.64x = 4,130.10 × 1,519.94
  4. Step 4: Simplify right side
    2,752.64x = 6,277,504.19
  5. Step 5: Solve for x
    x = 6,277,504.19/2,752.64
  6. Step 6: Final answer
    x = 2,280.54

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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.