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Finding the Fourth Proportional to 1,375.61, 1,898.36 and 786.18

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Solution

The fourth proportional to 1,375.61, 1,898.36 and 786.18 is: 1,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.61 : 1,898.36 = 786.18 : x
  2. Step 2: Convert to fraction form
    1,375.61/1,898.36 = 786.18/x
  3. Step 3: Cross multiply
    1,375.61x = 1,898.36 × 786.18
  4. Step 4: Simplify right side
    1,375.61x = 1,492,452.66
  5. Step 5: Solve for x
    x = 1,492,452.66/1,375.61
  6. Step 6: Final answer
    x = 1,084.94

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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.