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Finding the Fourth Proportional to 6,499.74, 9,749.60 and 2,117.64

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Solution

The fourth proportional to 6,499.74, 9,749.60 and 2,117.64 is: 3,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.74 : 9,749.60 = 2,117.64 : x
  2. Step 2: Convert to fraction form
    6,499.74/9,749.60 = 2,117.64/x
  3. Step 3: Cross multiply
    6,499.74x = 9,749.60 × 2,117.64
  4. Step 4: Simplify right side
    6,499.74x = 20,646,142.94
  5. Step 5: Solve for x
    x = 20,646,142.94/6,499.74
  6. Step 6: Final answer
    x = 3,176.46

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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.