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Finding the Fourth Proportional to 1,588.71, 2,380.43 and 1,124.19

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Solution

The fourth proportional to 1,588.71, 2,380.43 and 1,124.19 is: 1,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.71 : 2,380.43 = 1,124.19 : x
  2. Step 2: Convert to fraction form
    1,588.71/2,380.43 = 1,124.19/x
  3. Step 3: Cross multiply
    1,588.71x = 2,380.43 × 1,124.19
  4. Step 4: Simplify right side
    1,588.71x = 2,676,040.89
  5. Step 5: Solve for x
    x = 2,676,040.89/1,588.71
  6. Step 6: Final answer
    x = 1,684.41

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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.