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Finding the Fourth Proportional to 5,858.78, 8,082.07 and 3,970.46

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Solution

The fourth proportional to 5,858.78, 8,082.07 and 3,970.46 is: 5,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.78 : 8,082.07 = 3,970.46 : x
  2. Step 2: Convert to fraction form
    5,858.78/8,082.07 = 3,970.46/x
  3. Step 3: Cross multiply
    5,858.78x = 8,082.07 × 3,970.46
  4. Step 4: Simplify right side
    5,858.78x = 32,089,535.65
  5. Step 5: Solve for x
    x = 32,089,535.65/5,858.78
  6. Step 6: Final answer
    x = 5,477.17

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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.