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Finding the Fourth Proportional to 1,886.70, 2,828.12 and 1,337.58

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Solution

The fourth proportional to 1,886.70, 2,828.12 and 1,337.58 is: 2,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.70 : 2,828.12 = 1,337.58 : x
  2. Step 2: Convert to fraction form
    1,886.70/2,828.12 = 1,337.58/x
  3. Step 3: Cross multiply
    1,886.70x = 2,828.12 × 1,337.58
  4. Step 4: Simplify right side
    1,886.70x = 3,782,836.75
  5. Step 5: Solve for x
    x = 3,782,836.75/1,886.70
  6. Step 6: Final answer
    x = 2,005.00

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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.