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Finding the Fourth Proportional to 2,648.78, 3,657.03 and 1,809.18

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Solution

The fourth proportional to 2,648.78, 3,657.03 and 1,809.18 is: 2,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.78 : 3,657.03 = 1,809.18 : x
  2. Step 2: Convert to fraction form
    2,648.78/3,657.03 = 1,809.18/x
  3. Step 3: Cross multiply
    2,648.78x = 3,657.03 × 1,809.18
  4. Step 4: Simplify right side
    2,648.78x = 6,616,225.54
  5. Step 5: Solve for x
    x = 6,616,225.54/2,648.78
  6. Step 6: Final answer
    x = 2,497.84

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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.