Home / 2,021.78-3,032.13-561.02

Finding the Fourth Proportional to 2,021.78, 3,032.13 and 561.02

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Solution

The fourth proportional to 2,021.78, 3,032.13 and 561.02 is: 841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.78 : 3,032.13 = 561.02 : x
  2. Step 2: Convert to fraction form
    2,021.78/3,032.13 = 561.02/x
  3. Step 3: Cross multiply
    2,021.78x = 3,032.13 × 561.02
  4. Step 4: Simplify right side
    2,021.78x = 1,701,085.57
  5. Step 5: Solve for x
    x = 1,701,085.57/2,021.78
  6. Step 6: Final answer
    x = 841.38

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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.