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Finding the Fourth Proportional to 1,854.60, 2,771.00 and 1,790.00

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Solution

The fourth proportional to 1,854.60, 2,771.00 and 1,790.00 is: 2,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.60 : 2,771.00 = 1,790.00 : x
  2. Step 2: Convert to fraction form
    1,854.60/2,771.00 = 1,790.00/x
  3. Step 3: Cross multiply
    1,854.60x = 2,771.00 × 1,790.00
  4. Step 4: Simplify right side
    1,854.60x = 4,960,080.62
  5. Step 5: Solve for x
    x = 4,960,080.62/1,854.60
  6. Step 6: Final answer
    x = 2,674.47

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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.