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Finding the Fourth Proportional to 1,375.62, 1,897.99 and 816.21

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Solution

The fourth proportional to 1,375.62, 1,897.99 and 816.21 is: 1,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.62 : 1,897.99 = 816.21 : x
  2. Step 2: Convert to fraction form
    1,375.62/1,897.99 = 816.21/x
  3. Step 3: Cross multiply
    1,375.62x = 1,897.99 × 816.21
  4. Step 4: Simplify right side
    1,375.62x = 1,549,156.38
  5. Step 5: Solve for x
    x = 1,549,156.38/1,375.62
  6. Step 6: Final answer
    x = 1,126.15

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1.5x scale

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.