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Finding the Fourth Proportional to 1,578.22, 2,178.62 and 988.63

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Solution

The fourth proportional to 1,578.22, 2,178.62 and 988.63 is: 1,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.22 : 2,178.62 = 988.63 : x
  2. Step 2: Convert to fraction form
    1,578.22/2,178.62 = 988.63/x
  3. Step 3: Cross multiply
    1,578.22x = 2,178.62 × 988.63
  4. Step 4: Simplify right side
    1,578.22x = 2,153,849.09
  5. Step 5: Solve for x
    x = 2,153,849.09/1,578.22
  6. Step 6: Final answer
    x = 1,364.73

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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.