Home / 1,514.95-2,271.29-821.49

Finding the Fourth Proportional to 1,514.95, 2,271.29 and 821.49

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Solution

The fourth proportional to 1,514.95, 2,271.29 and 821.49 is: 1,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.95 : 2,271.29 = 821.49 : x
  2. Step 2: Convert to fraction form
    1,514.95/2,271.29 = 821.49/x
  3. Step 3: Cross multiply
    1,514.95x = 2,271.29 × 821.49
  4. Step 4: Simplify right side
    1,514.95x = 1,865,846.79
  5. Step 5: Solve for x
    x = 1,865,846.79/1,514.95
  6. Step 6: Final answer
    x = 1,231.62

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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.