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Finding the Fourth Proportional to 1,398.78, 2,084.54 and 1,356.55

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Solution

The fourth proportional to 1,398.78, 2,084.54 and 1,356.55 is: 2,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.78 : 2,084.54 = 1,356.55 : x
  2. Step 2: Convert to fraction form
    1,398.78/2,084.54 = 1,356.55/x
  3. Step 3: Cross multiply
    1,398.78x = 2,084.54 × 1,356.55
  4. Step 4: Simplify right side
    1,398.78x = 2,827,770.74
  5. Step 5: Solve for x
    x = 2,827,770.74/1,398.78
  6. Step 6: Final answer
    x = 2,021.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.