Home / 1,522.68-2,101.29-824.05

Finding the Fourth Proportional to 1,522.68, 2,101.29 and 824.05

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Solution

The fourth proportional to 1,522.68, 2,101.29 and 824.05 is: 1,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.68 : 2,101.29 = 824.05 : x
  2. Step 2: Convert to fraction form
    1,522.68/2,101.29 = 824.05/x
  3. Step 3: Cross multiply
    1,522.68x = 2,101.29 × 824.05
  4. Step 4: Simplify right side
    1,522.68x = 1,731,573.74
  5. Step 5: Solve for x
    x = 1,731,573.74/1,522.68
  6. Step 6: Final answer
    x = 1,137.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.