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Finding the Fourth Proportional to 1,584.74, 2,186.78 and 921.63

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Solution

The fourth proportional to 1,584.74, 2,186.78 and 921.63 is: 1,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.74 : 2,186.78 = 921.63 : x
  2. Step 2: Convert to fraction form
    1,584.74/2,186.78 = 921.63/x
  3. Step 3: Cross multiply
    1,584.74x = 2,186.78 × 921.63
  4. Step 4: Simplify right side
    1,584.74x = 2,015,397.44
  5. Step 5: Solve for x
    x = 2,015,397.44/1,584.74
  6. Step 6: Final answer
    x = 1,271.76

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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.