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Finding the Fourth Proportional to 1,375.68, 1,886.80 and 1,220.16

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Solution

The fourth proportional to 1,375.68, 1,886.80 and 1,220.16 is: 1,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.68 : 1,886.80 = 1,220.16 : x
  2. Step 2: Convert to fraction form
    1,375.68/1,886.80 = 1,220.16/x
  3. Step 3: Cross multiply
    1,375.68x = 1,886.80 × 1,220.16
  4. Step 4: Simplify right side
    1,375.68x = 2,302,197.89
  5. Step 5: Solve for x
    x = 2,302,197.89/1,375.68
  6. Step 6: Final answer
    x = 1,673.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.