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Finding the Fourth Proportional to 2,932.88, 4,399.98 and 985.03

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Solution

The fourth proportional to 2,932.88, 4,399.98 and 985.03 is: 1,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.88 : 4,399.98 = 985.03 : x
  2. Step 2: Convert to fraction form
    2,932.88/4,399.98 = 985.03/x
  3. Step 3: Cross multiply
    2,932.88x = 4,399.98 × 985.03
  4. Step 4: Simplify right side
    2,932.88x = 4,334,114.11
  5. Step 5: Solve for x
    x = 4,334,114.11/2,932.88
  6. Step 6: Final answer
    x = 1,477.77

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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.