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Finding the Fourth Proportional to 1,522.86, 2,287.80 and 1,202.10

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Solution

The fourth proportional to 1,522.86, 2,287.80 and 1,202.10 is: 1,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.86 : 2,287.80 = 1,202.10 : x
  2. Step 2: Convert to fraction form
    1,522.86/2,287.80 = 1,202.10/x
  3. Step 3: Cross multiply
    1,522.86x = 2,287.80 × 1,202.10
  4. Step 4: Simplify right side
    1,522.86x = 2,750,164.38
  5. Step 5: Solve for x
    x = 2,750,164.38/1,522.86
  6. Step 6: Final answer
    x = 1,805.92

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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.