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Finding the Fourth Proportional to 15,687.81, 23,525.46 and 6,916.50

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Solution

The fourth proportional to 15,687.81, 23,525.46 and 6,916.50 is: 10,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.81 : 23,525.46 = 6,916.50 : x
  2. Step 2: Convert to fraction form
    15,687.81/23,525.46 = 6,916.50/x
  3. Step 3: Cross multiply
    15,687.81x = 23,525.46 × 6,916.50
  4. Step 4: Simplify right side
    15,687.81x = 162,713,844.09
  5. Step 5: Solve for x
    x = 162,713,844.09/15,687.81
  6. Step 6: Final answer
    x = 10,371.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.