Home / 1,782.36-2,458.08-1,408.14

Finding the Fourth Proportional to 1,782.36, 2,458.08 and 1,408.14

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Solution

The fourth proportional to 1,782.36, 2,458.08 and 1,408.14 is: 1,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.36 : 2,458.08 = 1,408.14 : x
  2. Step 2: Convert to fraction form
    1,782.36/2,458.08 = 1,408.14/x
  3. Step 3: Cross multiply
    1,782.36x = 2,458.08 × 1,408.14
  4. Step 4: Simplify right side
    1,782.36x = 3,461,320.77
  5. Step 5: Solve for x
    x = 3,461,320.77/1,782.36
  6. Step 6: Final answer
    x = 1,941.99

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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.