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Finding the Fourth Proportional to 1,878.36, 2,814.78 and 988.05

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Solution

The fourth proportional to 1,878.36, 2,814.78 and 988.05 is: 1,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.36 : 2,814.78 = 988.05 : x
  2. Step 2: Convert to fraction form
    1,878.36/2,814.78 = 988.05/x
  3. Step 3: Cross multiply
    1,878.36x = 2,814.78 × 988.05
  4. Step 4: Simplify right side
    1,878.36x = 2,781,143.38
  5. Step 5: Solve for x
    x = 2,781,143.38/1,878.36
  6. Step 6: Final answer
    x = 1,480.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.