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Finding the Fourth Proportional to 1,949.96, 2,925.48 and 1,025.48

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Solution

The fourth proportional to 1,949.96, 2,925.48 and 1,025.48 is: 1,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.96 : 2,925.48 = 1,025.48 : x
  2. Step 2: Convert to fraction form
    1,949.96/2,925.48 = 1,025.48/x
  3. Step 3: Cross multiply
    1,949.96x = 2,925.48 × 1,025.48
  4. Step 4: Simplify right side
    1,949.96x = 3,000,021.23
  5. Step 5: Solve for x
    x = 3,000,021.23/1,949.96
  6. Step 6: Final answer
    x = 1,538.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.