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Finding the Fourth Proportional to 1,381.74, 1,894.35 and 1,357.17

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Solution

The fourth proportional to 1,381.74, 1,894.35 and 1,357.17 is: 1,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.74 : 1,894.35 = 1,357.17 : x
  2. Step 2: Convert to fraction form
    1,381.74/1,894.35 = 1,357.17/x
  3. Step 3: Cross multiply
    1,381.74x = 1,894.35 × 1,357.17
  4. Step 4: Simplify right side
    1,381.74x = 2,570,954.99
  5. Step 5: Solve for x
    x = 2,570,954.99/1,381.74
  6. Step 6: Final answer
    x = 1,860.66

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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.