Home / 1,621.35-2,430.41-800.21

Finding the Fourth Proportional to 1,621.35, 2,430.41 and 800.21

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Solution

The fourth proportional to 1,621.35, 2,430.41 and 800.21 is: 1,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.35 : 2,430.41 = 800.21 : x
  2. Step 2: Convert to fraction form
    1,621.35/2,430.41 = 800.21/x
  3. Step 3: Cross multiply
    1,621.35x = 2,430.41 × 800.21
  4. Step 4: Simplify right side
    1,621.35x = 1,944,840.46
  5. Step 5: Solve for x
    x = 1,944,840.46/1,621.35
  6. Step 6: Final answer
    x = 1,199.52

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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.