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Finding the Fourth Proportional to 10,850.51, 14,973.89 and 6,134.78

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Solution

The fourth proportional to 10,850.51, 14,973.89 and 6,134.78 is: 8,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.51 : 14,973.89 = 6,134.78 : x
  2. Step 2: Convert to fraction form
    10,850.51/14,973.89 = 6,134.78/x
  3. Step 3: Cross multiply
    10,850.51x = 14,973.89 × 6,134.78
  4. Step 4: Simplify right side
    10,850.51x = 91,861,415.35
  5. Step 5: Solve for x
    x = 91,861,415.35/10,850.51
  6. Step 6: Final answer
    x = 8,466.10

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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.