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Finding the Fourth Proportional to 2,516.97, 3,775.74 and 1,217.50

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Solution

The fourth proportional to 2,516.97, 3,775.74 and 1,217.50 is: 1,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.97 : 3,775.74 = 1,217.50 : x
  2. Step 2: Convert to fraction form
    2,516.97/3,775.74 = 1,217.50/x
  3. Step 3: Cross multiply
    2,516.97x = 3,775.74 × 1,217.50
  4. Step 4: Simplify right side
    2,516.97x = 4,596,963.45
  5. Step 5: Solve for x
    x = 4,596,963.45/2,516.97
  6. Step 6: Final answer
    x = 1,826.39

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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.