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Finding the Fourth Proportional to 1,894.60, 2,826.68 and 1,686.70

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Solution

The fourth proportional to 1,894.60, 2,826.68 and 1,686.70 is: 2,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.60 : 2,826.68 = 1,686.70 : x
  2. Step 2: Convert to fraction form
    1,894.60/2,826.68 = 1,686.70/x
  3. Step 3: Cross multiply
    1,894.60x = 2,826.68 × 1,686.70
  4. Step 4: Simplify right side
    1,894.60x = 4,767,761.16
  5. Step 5: Solve for x
    x = 4,767,761.16/1,894.60
  6. Step 6: Final answer
    x = 2,516.50

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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.