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Finding the Fourth Proportional to 2,592.33, 3,890.29 and 1,032.18

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Solution

The fourth proportional to 2,592.33, 3,890.29 and 1,032.18 is: 1,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.33 : 3,890.29 = 1,032.18 : x
  2. Step 2: Convert to fraction form
    2,592.33/3,890.29 = 1,032.18/x
  3. Step 3: Cross multiply
    2,592.33x = 3,890.29 × 1,032.18
  4. Step 4: Simplify right side
    2,592.33x = 4,015,479.53
  5. Step 5: Solve for x
    x = 4,015,479.53/2,592.33
  6. Step 6: Final answer
    x = 1,548.98

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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.