Home / 1,514.38-2,271.30-964.93

Finding the Fourth Proportional to 1,514.38, 2,271.30 and 964.93

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Solution

The fourth proportional to 1,514.38, 2,271.30 and 964.93 is: 1,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.38 : 2,271.30 = 964.93 : x
  2. Step 2: Convert to fraction form
    1,514.38/2,271.30 = 964.93/x
  3. Step 3: Cross multiply
    1,514.38x = 2,271.30 × 964.93
  4. Step 4: Simplify right side
    1,514.38x = 2,191,645.51
  5. Step 5: Solve for x
    x = 2,191,645.51/1,514.38
  6. Step 6: Final answer
    x = 1,447.22

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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.