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Finding the Fourth Proportional to 15,588.47, 23,382.71 and 7,274.31

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Solution

The fourth proportional to 15,588.47, 23,382.71 and 7,274.31 is: 10,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.47 : 23,382.71 = 7,274.31 : x
  2. Step 2: Convert to fraction form
    15,588.47/23,382.71 = 7,274.31/x
  3. Step 3: Cross multiply
    15,588.47x = 23,382.71 × 7,274.31
  4. Step 4: Simplify right side
    15,588.47x = 170,093,044.81
  5. Step 5: Solve for x
    x = 170,093,044.81/15,588.47
  6. Step 6: Final answer
    x = 10,911.47

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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.