Home / 1,820.60-2,731.36-522.07

Finding the Fourth Proportional to 1,820.60, 2,731.36 and 522.07

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Solution

The fourth proportional to 1,820.60, 2,731.36 and 522.07 is: 783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.60 : 2,731.36 = 522.07 : x
  2. Step 2: Convert to fraction form
    1,820.60/2,731.36 = 522.07/x
  3. Step 3: Cross multiply
    1,820.60x = 2,731.36 × 522.07
  4. Step 4: Simplify right side
    1,820.60x = 1,425,960.91
  5. Step 5: Solve for x
    x = 1,425,960.91/1,820.60
  6. Step 6: Final answer
    x = 783.24

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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.