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Finding the Fourth Proportional to 10,635.50, 14,676.99 and 6,219.50

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Solution

The fourth proportional to 10,635.50, 14,676.99 and 6,219.50 is: 8,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.50 : 14,676.99 = 6,219.50 : x
  2. Step 2: Convert to fraction form
    10,635.50/14,676.99 = 6,219.50/x
  3. Step 3: Cross multiply
    10,635.50x = 14,676.99 × 6,219.50
  4. Step 4: Simplify right side
    10,635.50x = 91,283,539.31
  5. Step 5: Solve for x
    x = 91,283,539.31/10,635.50
  6. Step 6: Final answer
    x = 8,582.91

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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.