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Finding the Fourth Proportional to 2,800.71, 3,865.08 and 1,541.82

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Solution

The fourth proportional to 2,800.71, 3,865.08 and 1,541.82 is: 2,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.71 : 3,865.08 = 1,541.82 : x
  2. Step 2: Convert to fraction form
    2,800.71/3,865.08 = 1,541.82/x
  3. Step 3: Cross multiply
    2,800.71x = 3,865.08 × 1,541.82
  4. Step 4: Simplify right side
    2,800.71x = 5,959,257.65
  5. Step 5: Solve for x
    x = 5,959,257.65/2,800.71
  6. Step 6: Final answer
    x = 2,127.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.