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Finding the Fourth Proportional to 1,953.95, 2,932.07 and 722.22

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Solution

The fourth proportional to 1,953.95, 2,932.07 and 722.22 is: 1,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.95 : 2,932.07 = 722.22 : x
  2. Step 2: Convert to fraction form
    1,953.95/2,932.07 = 722.22/x
  3. Step 3: Cross multiply
    1,953.95x = 2,932.07 × 722.22
  4. Step 4: Simplify right side
    1,953.95x = 2,117,599.60
  5. Step 5: Solve for x
    x = 2,117,599.60/1,953.95
  6. Step 6: Final answer
    x = 1,083.75

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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.