Home / 1,820.70-2,731.50-522.27

Finding the Fourth Proportional to 1,820.70, 2,731.50 and 522.27

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Solution

The fourth proportional to 1,820.70, 2,731.50 and 522.27 is: 783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.70 : 2,731.50 = 522.27 : x
  2. Step 2: Convert to fraction form
    1,820.70/2,731.50 = 522.27/x
  3. Step 3: Cross multiply
    1,820.70x = 2,731.50 × 522.27
  4. Step 4: Simplify right side
    1,820.70x = 1,426,580.51
  5. Step 5: Solve for x
    x = 1,426,580.51/1,820.70
  6. Step 6: Final answer
    x = 783.53

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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.