Home / 1,782.04-2,458.58-1,409.08

Finding the Fourth Proportional to 1,782.04, 2,458.58 and 1,409.08

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Solution

The fourth proportional to 1,782.04, 2,458.58 and 1,409.08 is: 1,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.04 : 2,458.58 = 1,409.08 : x
  2. Step 2: Convert to fraction form
    1,782.04/2,458.58 = 1,409.08/x
  3. Step 3: Cross multiply
    1,782.04x = 2,458.58 × 1,409.08
  4. Step 4: Simplify right side
    1,782.04x = 3,464,335.91
  5. Step 5: Solve for x
    x = 3,464,335.91/1,782.04
  6. Step 6: Final answer
    x = 1,944.03

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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.