Home / 1,642.90-2,467.49-1,409.16

Finding the Fourth Proportional to 1,642.90, 2,467.49 and 1,409.16

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Solution

The fourth proportional to 1,642.90, 2,467.49 and 1,409.16 is: 2,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.90 : 2,467.49 = 1,409.16 : x
  2. Step 2: Convert to fraction form
    1,642.90/2,467.49 = 1,409.16/x
  3. Step 3: Cross multiply
    1,642.90x = 2,467.49 × 1,409.16
  4. Step 4: Simplify right side
    1,642.90x = 3,477,088.21
  5. Step 5: Solve for x
    x = 3,477,088.21/1,642.90
  6. Step 6: Final answer
    x = 2,116.43

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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.