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Finding the Fourth Proportional to 1,397.96, 1,927.80 and 1,102.64

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Solution

The fourth proportional to 1,397.96, 1,927.80 and 1,102.64 is: 1,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.96 : 1,927.80 = 1,102.64 : x
  2. Step 2: Convert to fraction form
    1,397.96/1,927.80 = 1,102.64/x
  3. Step 3: Cross multiply
    1,397.96x = 1,927.80 × 1,102.64
  4. Step 4: Simplify right side
    1,397.96x = 2,125,669.39
  5. Step 5: Solve for x
    x = 2,125,669.39/1,397.96
  6. Step 6: Final answer
    x = 1,520.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.