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Finding the Fourth Proportional to 10,684.94, 14,745.13 and 5,905.20

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Solution

The fourth proportional to 10,684.94, 14,745.13 and 5,905.20 is: 8,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.94 : 14,745.13 = 5,905.20 : x
  2. Step 2: Convert to fraction form
    10,684.94/14,745.13 = 5,905.20/x
  3. Step 3: Cross multiply
    10,684.94x = 14,745.13 × 5,905.20
  4. Step 4: Simplify right side
    10,684.94x = 87,072,926.91
  5. Step 5: Solve for x
    x = 87,072,926.91/10,684.94
  6. Step 6: Final answer
    x = 8,149.13

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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.