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Finding the Fourth Proportional to 2,597.87, 3,896.81 and 650.07

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Solution

The fourth proportional to 2,597.87, 3,896.81 and 650.07 is: 975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.87 : 3,896.81 = 650.07 : x
  2. Step 2: Convert to fraction form
    2,597.87/3,896.81 = 650.07/x
  3. Step 3: Cross multiply
    2,597.87x = 3,896.81 × 650.07
  4. Step 4: Simplify right side
    2,597.87x = 2,533,186.28
  5. Step 5: Solve for x
    x = 2,533,186.28/2,597.87
  6. Step 6: Final answer
    x = 975.10

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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.