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Finding the Fourth Proportional to 2,509.94, 3,765.22 and 1,210.50

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Solution

The fourth proportional to 2,509.94, 3,765.22 and 1,210.50 is: 1,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.94 : 3,765.22 = 1,210.50 : x
  2. Step 2: Convert to fraction form
    2,509.94/3,765.22 = 1,210.50/x
  3. Step 3: Cross multiply
    2,509.94x = 3,765.22 × 1,210.50
  4. Step 4: Simplify right side
    2,509.94x = 4,557,795.78
  5. Step 5: Solve for x
    x = 4,557,795.78/2,509.94
  6. Step 6: Final answer
    x = 1,815.90

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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.