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Finding the Fourth Proportional to 1,874.71, 2,810.26 and 1,258.58

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Solution

The fourth proportional to 1,874.71, 2,810.26 and 1,258.58 is: 1,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.71 : 2,810.26 = 1,258.58 : x
  2. Step 2: Convert to fraction form
    1,874.71/2,810.26 = 1,258.58/x
  3. Step 3: Cross multiply
    1,874.71x = 2,810.26 × 1,258.58
  4. Step 4: Simplify right side
    1,874.71x = 3,536,940.91
  5. Step 5: Solve for x
    x = 3,536,940.91/1,874.71
  6. Step 6: Final answer
    x = 1,886.66

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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.