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Finding the Fourth Proportional to 2,355, 3,242.44 and 2,280.48

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Solution

The fourth proportional to 2,355, 3,242.44 and 2,280.48 is: 3,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355 : 3,242.44 = 2,280.48 : x
  2. Step 2: Convert to fraction form
    2,355/3,242.44 = 2,280.48/x
  3. Step 3: Cross multiply
    2,355x = 3,242.44 × 2,280.48
  4. Step 4: Simplify right side
    2,355x = 7,394,319.57
  5. Step 5: Solve for x
    x = 7,394,319.57/2,355
  6. Step 6: Final answer
    x = 3,139.84

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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.