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Finding the Fourth Proportional to 15,833.94, 23,735.98 and 5,438.40

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Solution

The fourth proportional to 15,833.94, 23,735.98 and 5,438.40 is: 8,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.94 : 23,735.98 = 5,438.40 : x
  2. Step 2: Convert to fraction form
    15,833.94/23,735.98 = 5,438.40/x
  3. Step 3: Cross multiply
    15,833.94x = 23,735.98 × 5,438.40
  4. Step 4: Simplify right side
    15,833.94x = 129,085,753.63
  5. Step 5: Solve for x
    x = 129,085,753.63/15,833.94
  6. Step 6: Final answer
    x = 8,152.47

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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.