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Finding the Fourth Proportional to 1,886.60, 2,814.76 and 1,678.70

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Solution

The fourth proportional to 1,886.60, 2,814.76 and 1,678.70 is: 2,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.60 : 2,814.76 = 1,678.70 : x
  2. Step 2: Convert to fraction form
    1,886.60/2,814.76 = 1,678.70/x
  3. Step 3: Cross multiply
    1,886.60x = 2,814.76 × 1,678.70
  4. Step 4: Simplify right side
    1,886.60x = 4,725,137.61
  5. Step 5: Solve for x
    x = 4,725,137.61/1,886.60
  6. Step 6: Final answer
    x = 2,504.58

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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.