Home / 1,648.35-2,271.87-1,415.07

Finding the Fourth Proportional to 1,648.35, 2,271.87 and 1,415.07

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Solution

The fourth proportional to 1,648.35, 2,271.87 and 1,415.07 is: 1,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.35 : 2,271.87 = 1,415.07 : x
  2. Step 2: Convert to fraction form
    1,648.35/2,271.87 = 1,415.07/x
  3. Step 3: Cross multiply
    1,648.35x = 2,271.87 × 1,415.07
  4. Step 4: Simplify right side
    1,648.35x = 3,214,855.08
  5. Step 5: Solve for x
    x = 3,214,855.08/1,648.35
  6. Step 6: Final answer
    x = 1,950.35

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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.