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Finding the Fourth Proportional to 5,314.55, 7,971.62 and 1,418.92

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Solution

The fourth proportional to 5,314.55, 7,971.62 and 1,418.92 is: 2,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.55 : 7,971.62 = 1,418.92 : x
  2. Step 2: Convert to fraction form
    5,314.55/7,971.62 = 1,418.92/x
  3. Step 3: Cross multiply
    5,314.55x = 7,971.62 × 1,418.92
  4. Step 4: Simplify right side
    5,314.55x = 11,311,064.03
  5. Step 5: Solve for x
    x = 11,311,064.03/5,314.55
  6. Step 6: Final answer
    x = 2,128.32

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1.5x scale

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.