Home / 1,509.21-2,263.32-1,410.82

Finding the Fourth Proportional to 1,509.21, 2,263.32 and 1,410.82

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Solution

The fourth proportional to 1,509.21, 2,263.32 and 1,410.82 is: 2,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.21 : 2,263.32 = 1,410.82 : x
  2. Step 2: Convert to fraction form
    1,509.21/2,263.32 = 1,410.82/x
  3. Step 3: Cross multiply
    1,509.21x = 2,263.32 × 1,410.82
  4. Step 4: Simplify right side
    1,509.21x = 3,193,125.81
  5. Step 5: Solve for x
    x = 3,193,125.81/1,509.21
  6. Step 6: Final answer
    x = 2,115.77

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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.