Home / 15,625.92-23,415.84-7,824

Finding the Fourth Proportional to 15,625.92, 23,415.84 and 7,824

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Solution

The fourth proportional to 15,625.92, 23,415.84 and 7,824 is: 11,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,625.92 : 23,415.84 = 7,824 : x
  2. Step 2: Convert to fraction form
    15,625.92/23,415.84 = 7,824/x
  3. Step 3: Cross multiply
    15,625.92x = 23,415.84 × 7,824
  4. Step 4: Simplify right side
    15,625.92x = 183,205,532.16
  5. Step 5: Solve for x
    x = 183,205,532.16/15,625.92
  6. Step 6: Final answer
    x = 11,724.46

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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.