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Finding the Fourth Proportional to 10,858.50, 14,984.73 and 6,142.68

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Solution

The fourth proportional to 10,858.50, 14,984.73 and 6,142.68 is: 8,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.50 : 14,984.73 = 6,142.68 : x
  2. Step 2: Convert to fraction form
    10,858.50/14,984.73 = 6,142.68/x
  3. Step 3: Cross multiply
    10,858.50x = 14,984.73 × 6,142.68
  4. Step 4: Simplify right side
    10,858.50x = 92,046,401.28
  5. Step 5: Solve for x
    x = 92,046,401.28/10,858.50
  6. Step 6: Final answer
    x = 8,476.90

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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.