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Finding the Fourth Proportional to 2,787, 3,846.25 and 1,608.45

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Solution

The fourth proportional to 2,787, 3,846.25 and 1,608.45 is: 2,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787 : 3,846.25 = 1,608.45 : x
  2. Step 2: Convert to fraction form
    2,787/3,846.25 = 1,608.45/x
  3. Step 3: Cross multiply
    2,787x = 3,846.25 × 1,608.45
  4. Step 4: Simplify right side
    2,787x = 6,186,500.81
  5. Step 5: Solve for x
    x = 6,186,500.81/2,787
  6. Step 6: Final answer
    x = 2,219.77

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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.