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Finding the Fourth Proportional to 2,379.24, 3,569.16 and 919.68

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Solution

The fourth proportional to 2,379.24, 3,569.16 and 919.68 is: 1,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.24 : 3,569.16 = 919.68 : x
  2. Step 2: Convert to fraction form
    2,379.24/3,569.16 = 919.68/x
  3. Step 3: Cross multiply
    2,379.24x = 3,569.16 × 919.68
  4. Step 4: Simplify right side
    2,379.24x = 3,282,485.07
  5. Step 5: Solve for x
    x = 3,282,485.07/2,379.24
  6. Step 6: Final answer
    x = 1,379.64

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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.