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Finding the Fourth Proportional to 15,683.31, 23,518.71 and 6,912

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Solution

The fourth proportional to 15,683.31, 23,518.71 and 6,912 is: 10,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.31 : 23,518.71 = 6,912 : x
  2. Step 2: Convert to fraction form
    15,683.31/23,518.71 = 6,912/x
  3. Step 3: Cross multiply
    15,683.31x = 23,518.71 × 6,912
  4. Step 4: Simplify right side
    15,683.31x = 162,561,323.52
  5. Step 5: Solve for x
    x = 162,561,323.52/15,683.31
  6. Step 6: Final answer
    x = 10,365.24

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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.