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Finding the Fourth Proportional to 15,728.39, 23,578.51 and 5,726.08

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Solution

The fourth proportional to 15,728.39, 23,578.51 and 5,726.08 is: 8,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.39 : 23,578.51 = 5,726.08 : x
  2. Step 2: Convert to fraction form
    15,728.39/23,578.51 = 5,726.08/x
  3. Step 3: Cross multiply
    15,728.39x = 23,578.51 × 5,726.08
  4. Step 4: Simplify right side
    15,728.39x = 135,012,493.49
  5. Step 5: Solve for x
    x = 135,012,493.49/15,728.39
  6. Step 6: Final answer
    x = 8,584.00

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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.