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Finding the Fourth Proportional to 15,640.94, 23,424.96 and 7,728.86

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Solution

The fourth proportional to 15,640.94, 23,424.96 and 7,728.86 is: 11,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.94 : 23,424.96 = 7,728.86 : x
  2. Step 2: Convert to fraction form
    15,640.94/23,424.96 = 7,728.86/x
  3. Step 3: Cross multiply
    15,640.94x = 23,424.96 × 7,728.86
  4. Step 4: Simplify right side
    15,640.94x = 181,048,236.35
  5. Step 5: Solve for x
    x = 181,048,236.35/15,640.94
  6. Step 6: Final answer
    x = 11,575.28

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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.