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Finding the Fourth Proportional to 2,458.83, 3,686.09 and 919.47

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Solution

The fourth proportional to 2,458.83, 3,686.09 and 919.47 is: 1,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.83 : 3,686.09 = 919.47 : x
  2. Step 2: Convert to fraction form
    2,458.83/3,686.09 = 919.47/x
  3. Step 3: Cross multiply
    2,458.83x = 3,686.09 × 919.47
  4. Step 4: Simplify right side
    2,458.83x = 3,389,244.57
  5. Step 5: Solve for x
    x = 3,389,244.57/2,458.83
  6. Step 6: Final answer
    x = 1,378.40

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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.