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Finding the Fourth Proportional to 7,803.54, 11,698.72 and 3,641.35

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Solution

The fourth proportional to 7,803.54, 11,698.72 and 3,641.35 is: 5,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.54 : 11,698.72 = 3,641.35 : x
  2. Step 2: Convert to fraction form
    7,803.54/11,698.72 = 3,641.35/x
  3. Step 3: Cross multiply
    7,803.54x = 11,698.72 × 3,641.35
  4. Step 4: Simplify right side
    7,803.54x = 42,599,134.07
  5. Step 5: Solve for x
    x = 42,599,134.07/7,803.54
  6. Step 6: Final answer
    x = 5,458.95

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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.