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Finding the Fourth Proportional to 1,886.10, 2,814.02 and 1,678.20

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Solution

The fourth proportional to 1,886.10, 2,814.02 and 1,678.20 is: 2,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.10 : 2,814.02 = 1,678.20 : x
  2. Step 2: Convert to fraction form
    1,886.10/2,814.02 = 1,678.20/x
  3. Step 3: Cross multiply
    1,886.10x = 2,814.02 × 1,678.20
  4. Step 4: Simplify right side
    1,886.10x = 4,722,479.97
  5. Step 5: Solve for x
    x = 4,722,479.97/1,886.10
  6. Step 6: Final answer
    x = 2,503.83

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1.5x scale

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.