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Finding the Fourth Proportional to 2,393.94, 3,303.01 and 1,398.65

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Solution

The fourth proportional to 2,393.94, 3,303.01 and 1,398.65 is: 1,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.94 : 3,303.01 = 1,398.65 : x
  2. Step 2: Convert to fraction form
    2,393.94/3,303.01 = 1,398.65/x
  3. Step 3: Cross multiply
    2,393.94x = 3,303.01 × 1,398.65
  4. Step 4: Simplify right side
    2,393.94x = 4,619,758.75
  5. Step 5: Solve for x
    x = 4,619,758.75/2,393.94
  6. Step 6: Final answer
    x = 1,929.77

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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.