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Finding the Fourth Proportional to 1,888.56, 2,828.72 and 1,343.18

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Solution

The fourth proportional to 1,888.56, 2,828.72 and 1,343.18 is: 2,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.56 : 2,828.72 = 1,343.18 : x
  2. Step 2: Convert to fraction form
    1,888.56/2,828.72 = 1,343.18/x
  3. Step 3: Cross multiply
    1,888.56x = 2,828.72 × 1,343.18
  4. Step 4: Simplify right side
    1,888.56x = 3,799,480.13
  5. Step 5: Solve for x
    x = 3,799,480.13/1,888.56
  6. Step 6: Final answer
    x = 2,011.84

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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.