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Finding the Fourth Proportional to 1,577.88, 2,177.43 and 988.74

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Solution

The fourth proportional to 1,577.88, 2,177.43 and 988.74 is: 1,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.88 : 2,177.43 = 988.74 : x
  2. Step 2: Convert to fraction form
    1,577.88/2,177.43 = 988.74/x
  3. Step 3: Cross multiply
    1,577.88x = 2,177.43 × 988.74
  4. Step 4: Simplify right side
    1,577.88x = 2,152,912.14
  5. Step 5: Solve for x
    x = 2,152,912.14/1,577.88
  6. Step 6: Final answer
    x = 1,364.43

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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.