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Finding the Fourth Proportional to 1,522.74, 2,272.50 and 1,483.86

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Solution

The fourth proportional to 1,522.74, 2,272.50 and 1,483.86 is: 2,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.74 : 2,272.50 = 1,483.86 : x
  2. Step 2: Convert to fraction form
    1,522.74/2,272.50 = 1,483.86/x
  3. Step 3: Cross multiply
    1,522.74x = 2,272.50 × 1,483.86
  4. Step 4: Simplify right side
    1,522.74x = 3,372,071.85
  5. Step 5: Solve for x
    x = 3,372,071.85/1,522.74
  6. Step 6: Final answer
    x = 2,214.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.