Home / 1,415.38-1,953.08-1,121.38

Finding the Fourth Proportional to 1,415.38, 1,953.08 and 1,121.38

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Solution

The fourth proportional to 1,415.38, 1,953.08 and 1,121.38 is: 1,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.38 : 1,953.08 = 1,121.38 : x
  2. Step 2: Convert to fraction form
    1,415.38/1,953.08 = 1,121.38/x
  3. Step 3: Cross multiply
    1,415.38x = 1,953.08 × 1,121.38
  4. Step 4: Simplify right side
    1,415.38x = 2,190,144.85
  5. Step 5: Solve for x
    x = 2,190,144.85/1,415.38
  6. Step 6: Final answer
    x = 1,547.39

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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.