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Finding the Fourth Proportional to 9,684.78, 14,494.23 and 8,126.52

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Solution

The fourth proportional to 9,684.78, 14,494.23 and 8,126.52 is: 12,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.78 : 14,494.23 = 8,126.52 : x
  2. Step 2: Convert to fraction form
    9,684.78/14,494.23 = 8,126.52/x
  3. Step 3: Cross multiply
    9,684.78x = 14,494.23 × 8,126.52
  4. Step 4: Simplify right side
    9,684.78x = 117,787,649.98
  5. Step 5: Solve for x
    x = 117,787,649.98/9,684.78
  6. Step 6: Final answer
    x = 12,162.14

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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.