Home / 1,740.23-2,609.28-816.07

Finding the Fourth Proportional to 1,740.23, 2,609.28 and 816.07

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Solution

The fourth proportional to 1,740.23, 2,609.28 and 816.07 is: 1,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.23 : 2,609.28 = 816.07 : x
  2. Step 2: Convert to fraction form
    1,740.23/2,609.28 = 816.07/x
  3. Step 3: Cross multiply
    1,740.23x = 2,609.28 × 816.07
  4. Step 4: Simplify right side
    1,740.23x = 2,129,355.13
  5. Step 5: Solve for x
    x = 2,129,355.13/1,740.23
  6. Step 6: Final answer
    x = 1,223.61

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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.