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Finding the Fourth Proportional to 2,157.10, 2,975.22 and 1,409.86

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Solution

The fourth proportional to 2,157.10, 2,975.22 and 1,409.86 is: 1,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.10 : 2,975.22 = 1,409.86 : x
  2. Step 2: Convert to fraction form
    2,157.10/2,975.22 = 1,409.86/x
  3. Step 3: Cross multiply
    2,157.10x = 2,975.22 × 1,409.86
  4. Step 4: Simplify right side
    2,157.10x = 4,194,643.67
  5. Step 5: Solve for x
    x = 4,194,643.67/2,157.10
  6. Step 6: Final answer
    x = 1,944.58

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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.