Home / 1,821.10-2,731.32-522.28

Finding the Fourth Proportional to 1,821.10, 2,731.32 and 522.28

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Solution

The fourth proportional to 1,821.10, 2,731.32 and 522.28 is: 783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.10 : 2,731.32 = 522.28 : x
  2. Step 2: Convert to fraction form
    1,821.10/2,731.32 = 522.28/x
  3. Step 3: Cross multiply
    1,821.10x = 2,731.32 × 522.28
  4. Step 4: Simplify right side
    1,821.10x = 1,426,513.81
  5. Step 5: Solve for x
    x = 1,426,513.81/1,821.10
  6. Step 6: Final answer
    x = 783.33

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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.