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Finding the Fourth Proportional to 3,855.02, 5,782.70 and 1,356.23

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Solution

The fourth proportional to 3,855.02, 5,782.70 and 1,356.23 is: 2,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.02 : 5,782.70 = 1,356.23 : x
  2. Step 2: Convert to fraction form
    3,855.02/5,782.70 = 1,356.23/x
  3. Step 3: Cross multiply
    3,855.02x = 5,782.70 × 1,356.23
  4. Step 4: Simplify right side
    3,855.02x = 7,842,671.22
  5. Step 5: Solve for x
    x = 7,842,671.22/3,855.02
  6. Step 6: Final answer
    x = 2,034.40

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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.