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Finding the Fourth Proportional to 6,581, 9,873.06 and 1,964.12

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Solution

The fourth proportional to 6,581, 9,873.06 and 1,964.12 is: 2,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581 : 9,873.06 = 1,964.12 : x
  2. Step 2: Convert to fraction form
    6,581/9,873.06 = 1,964.12/x
  3. Step 3: Cross multiply
    6,581x = 9,873.06 × 1,964.12
  4. Step 4: Simplify right side
    6,581x = 19,391,874.61
  5. Step 5: Solve for x
    x = 19,391,874.61/6,581
  6. Step 6: Final answer
    x = 2,946.65

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Half scale
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Double scale
Find fourth proportional to 6,582, 9,874.56 and 1,965.12
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.