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Finding the Fourth Proportional to 6,650.74, 9,977.57 and 1,971.11

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Solution

The fourth proportional to 6,650.74, 9,977.57 and 1,971.11 is: 2,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.74 : 9,977.57 = 1,971.11 : x
  2. Step 2: Convert to fraction form
    6,650.74/9,977.57 = 1,971.11/x
  3. Step 3: Cross multiply
    6,650.74x = 9,977.57 × 1,971.11
  4. Step 4: Simplify right side
    6,650.74x = 19,666,917.87
  5. Step 5: Solve for x
    x = 19,666,917.87/6,650.74
  6. Step 6: Final answer
    x = 2,957.10

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Half scale
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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.