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Finding the Fourth Proportional to 1,775.90, 2,447.14 and 1,375.14

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Solution

The fourth proportional to 1,775.90, 2,447.14 and 1,375.14 is: 1,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.90 : 2,447.14 = 1,375.14 : x
  2. Step 2: Convert to fraction form
    1,775.90/2,447.14 = 1,375.14/x
  3. Step 3: Cross multiply
    1,775.90x = 2,447.14 × 1,375.14
  4. Step 4: Simplify right side
    1,775.90x = 3,365,160.10
  5. Step 5: Solve for x
    x = 3,365,160.10/1,775.90
  6. Step 6: Final answer
    x = 1,894.90

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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.