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Finding the Fourth Proportional to 2,159.22, 2,975.90 and 1,859.70

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Solution

The fourth proportional to 2,159.22, 2,975.90 and 1,859.70 is: 2,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.22 : 2,975.90 = 1,859.70 : x
  2. Step 2: Convert to fraction form
    2,159.22/2,975.90 = 1,859.70/x
  3. Step 3: Cross multiply
    2,159.22x = 2,975.90 × 1,859.70
  4. Step 4: Simplify right side
    2,159.22x = 5,534,271.93
  5. Step 5: Solve for x
    x = 5,534,271.93/2,159.22
  6. Step 6: Final answer
    x = 2,563.09

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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.