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Finding the Fourth Proportional to 6,140.09, 9,211.95 and 1,980.74

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Solution

The fourth proportional to 6,140.09, 9,211.95 and 1,980.74 is: 2,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.09 : 9,211.95 = 1,980.74 : x
  2. Step 2: Convert to fraction form
    6,140.09/9,211.95 = 1,980.74/x
  3. Step 3: Cross multiply
    6,140.09x = 9,211.95 × 1,980.74
  4. Step 4: Simplify right side
    6,140.09x = 18,246,431.78
  5. Step 5: Solve for x
    x = 18,246,431.78/6,140.09
  6. Step 6: Final answer
    x = 2,971.69

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.