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Finding the Fourth Proportional to 1,886.75, 2,828.07 and 1,612.01

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Solution

The fourth proportional to 1,886.75, 2,828.07 and 1,612.01 is: 2,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.75 : 2,828.07 = 1,612.01 : x
  2. Step 2: Convert to fraction form
    1,886.75/2,828.07 = 1,612.01/x
  3. Step 3: Cross multiply
    1,886.75x = 2,828.07 × 1,612.01
  4. Step 4: Simplify right side
    1,886.75x = 4,558,877.12
  5. Step 5: Solve for x
    x = 4,558,877.12/1,886.75
  6. Step 6: Final answer
    x = 2,416.26

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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.