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Finding the Fourth Proportional to 1,506.17, 2,078.51 and 843.01

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Solution

The fourth proportional to 1,506.17, 2,078.51 and 843.01 is: 1,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.17 : 2,078.51 = 843.01 : x
  2. Step 2: Convert to fraction form
    1,506.17/2,078.51 = 843.01/x
  3. Step 3: Cross multiply
    1,506.17x = 2,078.51 × 843.01
  4. Step 4: Simplify right side
    1,506.17x = 1,752,195.30
  5. Step 5: Solve for x
    x = 1,752,195.30/1,506.17
  6. Step 6: Final answer
    x = 1,163.34

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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.