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Finding the Fourth Proportional to 2,803.12, 3,867.12 and 1,684.08

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Solution

The fourth proportional to 2,803.12, 3,867.12 and 1,684.08 is: 2,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.12 : 3,867.12 = 1,684.08 : x
  2. Step 2: Convert to fraction form
    2,803.12/3,867.12 = 1,684.08/x
  3. Step 3: Cross multiply
    2,803.12x = 3,867.12 × 1,684.08
  4. Step 4: Simplify right side
    2,803.12x = 6,512,539.45
  5. Step 5: Solve for x
    x = 6,512,539.45/2,803.12
  6. Step 6: Final answer
    x = 2,323.32

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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.