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Finding the Fourth Proportional to 2,015.43, 3,023.15 and 783.71

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Solution

The fourth proportional to 2,015.43, 3,023.15 and 783.71 is: 1,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.43 : 3,023.15 = 783.71 : x
  2. Step 2: Convert to fraction form
    2,015.43/3,023.15 = 783.71/x
  3. Step 3: Cross multiply
    2,015.43x = 3,023.15 × 783.71
  4. Step 4: Simplify right side
    2,015.43x = 2,369,272.89
  5. Step 5: Solve for x
    x = 2,369,272.89/2,015.43
  6. Step 6: Final answer
    x = 1,175.57

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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.