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Finding the Fourth Proportional to 1,374.01, 2,051.07 and 1,281.80

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Solution

The fourth proportional to 1,374.01, 2,051.07 and 1,281.80 is: 1,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.01 : 2,051.07 = 1,281.80 : x
  2. Step 2: Convert to fraction form
    1,374.01/2,051.07 = 1,281.80/x
  3. Step 3: Cross multiply
    1,374.01x = 2,051.07 × 1,281.80
  4. Step 4: Simplify right side
    1,374.01x = 2,629,061.53
  5. Step 5: Solve for x
    x = 2,629,061.53/1,374.01
  6. Step 6: Final answer
    x = 1,913.42

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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.