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Finding the Fourth Proportional to 5,208.66, 7,813.04 and 1,313.07

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Solution

The fourth proportional to 5,208.66, 7,813.04 and 1,313.07 is: 1,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.66 : 7,813.04 = 1,313.07 : x
  2. Step 2: Convert to fraction form
    5,208.66/7,813.04 = 1,313.07/x
  3. Step 3: Cross multiply
    5,208.66x = 7,813.04 × 1,313.07
  4. Step 4: Simplify right side
    5,208.66x = 10,259,042.42
  5. Step 5: Solve for x
    x = 10,259,042.42/5,208.66
  6. Step 6: Final answer
    x = 1,969.61

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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.