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Finding the Fourth Proportional to 15,083.54, 20,814.74 and 8,369.46

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Solution

The fourth proportional to 15,083.54, 20,814.74 and 8,369.46 is: 11,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.54 : 20,814.74 = 8,369.46 : x
  2. Step 2: Convert to fraction form
    15,083.54/20,814.74 = 8,369.46/x
  3. Step 3: Cross multiply
    15,083.54x = 20,814.74 × 8,369.46
  4. Step 4: Simplify right side
    15,083.54x = 174,208,133.84
  5. Step 5: Solve for x
    x = 174,208,133.84/15,083.54
  6. Step 6: Final answer
    x = 11,549.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.