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Finding the Fourth Proportional to 6,499.74, 8,969.67 and 3,515.60

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Solution

The fourth proportional to 6,499.74, 8,969.67 and 3,515.60 is: 4,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.74 : 8,969.67 = 3,515.60 : x
  2. Step 2: Convert to fraction form
    6,499.74/8,969.67 = 3,515.60/x
  3. Step 3: Cross multiply
    6,499.74x = 8,969.67 × 3,515.60
  4. Step 4: Simplify right side
    6,499.74x = 31,533,749.43
  5. Step 5: Solve for x
    x = 31,533,749.43/6,499.74
  6. Step 6: Final answer
    x = 4,851.54

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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.