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Finding the Fourth Proportional to 15,571.63, 23,338 and 7,782.67

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Solution

The fourth proportional to 15,571.63, 23,338 and 7,782.67 is: 11,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,571.63 : 23,338 = 7,782.67 : x
  2. Step 2: Convert to fraction form
    15,571.63/23,338 = 7,782.67/x
  3. Step 3: Cross multiply
    15,571.63x = 23,338 × 7,782.67
  4. Step 4: Simplify right side
    15,571.63x = 181,631,952.46
  5. Step 5: Solve for x
    x = 181,631,952.46/15,571.63
  6. Step 6: Final answer
    x = 11,664.29

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1.5x scale

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.