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Finding the Fourth Proportional to 4,323.93, 6,486.44 and 1,984.65

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Solution

The fourth proportional to 4,323.93, 6,486.44 and 1,984.65 is: 2,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.93 : 6,486.44 = 1,984.65 : x
  2. Step 2: Convert to fraction form
    4,323.93/6,486.44 = 1,984.65/x
  3. Step 3: Cross multiply
    4,323.93x = 6,486.44 × 1,984.65
  4. Step 4: Simplify right side
    4,323.93x = 12,873,303.22
  5. Step 5: Solve for x
    x = 12,873,303.22/4,323.93
  6. Step 6: Final answer
    x = 2,977.22

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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.