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Finding the Fourth Proportional to 7,803.64, 11,698.48 and 2,872.08

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Solution

The fourth proportional to 7,803.64, 11,698.48 and 2,872.08 is: 4,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.64 : 11,698.48 = 2,872.08 : x
  2. Step 2: Convert to fraction form
    7,803.64/11,698.48 = 2,872.08/x
  3. Step 3: Cross multiply
    7,803.64x = 11,698.48 × 2,872.08
  4. Step 4: Simplify right side
    7,803.64x = 33,598,970.44
  5. Step 5: Solve for x
    x = 33,598,970.44/7,803.64
  6. Step 6: Final answer
    x = 4,305.55

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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.