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Finding the Fourth Proportional to 1,953.90, 2,932.34 and 722.48

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Solution

The fourth proportional to 1,953.90, 2,932.34 and 722.48 is: 1,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.90 : 2,932.34 = 722.48 : x
  2. Step 2: Convert to fraction form
    1,953.90/2,932.34 = 722.48/x
  3. Step 3: Cross multiply
    1,953.90x = 2,932.34 × 722.48
  4. Step 4: Simplify right side
    1,953.90x = 2,118,538.73
  5. Step 5: Solve for x
    x = 2,118,538.73/1,953.90
  6. Step 6: Final answer
    x = 1,084.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.