Home / 1,820.72-2,731.08-522.19

Finding the Fourth Proportional to 1,820.72, 2,731.08 and 522.19

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Solution

The fourth proportional to 1,820.72, 2,731.08 and 522.19 is: 783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.72 : 2,731.08 = 522.19 : x
  2. Step 2: Convert to fraction form
    1,820.72/2,731.08 = 522.19/x
  3. Step 3: Cross multiply
    1,820.72x = 2,731.08 × 522.19
  4. Step 4: Simplify right side
    1,820.72x = 1,426,135.84
  5. Step 5: Solve for x
    x = 1,426,135.84/1,820.72
  6. Step 6: Final answer
    x = 783.28

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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.