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Finding the Fourth Proportional to 1,967.64, 2,951.01 and 581.07

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Solution

The fourth proportional to 1,967.64, 2,951.01 and 581.07 is: 871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.64 : 2,951.01 = 581.07 : x
  2. Step 2: Convert to fraction form
    1,967.64/2,951.01 = 581.07/x
  3. Step 3: Cross multiply
    1,967.64x = 2,951.01 × 581.07
  4. Step 4: Simplify right side
    1,967.64x = 1,714,754.45
  5. Step 5: Solve for x
    x = 1,714,754.45/1,967.64
  6. Step 6: Final answer
    x = 871.48

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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.