Home / 1,821.07-2,732.01-522.64

Finding the Fourth Proportional to 1,821.07, 2,732.01 and 522.64

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Solution

The fourth proportional to 1,821.07, 2,732.01 and 522.64 is: 784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.07 : 2,732.01 = 522.64 : x
  2. Step 2: Convert to fraction form
    1,821.07/2,732.01 = 522.64/x
  3. Step 3: Cross multiply
    1,821.07x = 2,732.01 × 522.64
  4. Step 4: Simplify right side
    1,821.07x = 1,427,857.71
  5. Step 5: Solve for x
    x = 1,427,857.71/1,821.07
  6. Step 6: Final answer
    x = 784.08

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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.