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Finding the Fourth Proportional to 2,034.64, 3,052.19 and 647.49

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Solution

The fourth proportional to 2,034.64, 3,052.19 and 647.49 is: 971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.64 : 3,052.19 = 647.49 : x
  2. Step 2: Convert to fraction form
    2,034.64/3,052.19 = 647.49/x
  3. Step 3: Cross multiply
    2,034.64x = 3,052.19 × 647.49
  4. Step 4: Simplify right side
    2,034.64x = 1,976,273.75
  5. Step 5: Solve for x
    x = 1,976,273.75/2,034.64
  6. Step 6: Final answer
    x = 971.31

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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.