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Finding the Fourth Proportional to 8,010.50, 11,068.65 and 6,940.08

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Solution

The fourth proportional to 8,010.50, 11,068.65 and 6,940.08 is: 9,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.50 : 11,068.65 = 6,940.08 : x
  2. Step 2: Convert to fraction form
    8,010.50/11,068.65 = 6,940.08/x
  3. Step 3: Cross multiply
    8,010.50x = 11,068.65 × 6,940.08
  4. Step 4: Simplify right side
    8,010.50x = 76,817,316.49
  5. Step 5: Solve for x
    x = 76,817,316.49/8,010.50
  6. Step 6: Final answer
    x = 9,589.58

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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.