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Finding the Fourth Proportional to 1,912, 2,866.24 and 678.40

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Solution

The fourth proportional to 1,912, 2,866.24 and 678.40 is: 1,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912 : 2,866.24 = 678.40 : x
  2. Step 2: Convert to fraction form
    1,912/2,866.24 = 678.40/x
  3. Step 3: Cross multiply
    1,912x = 2,866.24 × 678.40
  4. Step 4: Simplify right side
    1,912x = 1,944,457.22
  5. Step 5: Solve for x
    x = 1,944,457.22/1,912
  6. Step 6: Final answer
    x = 1,016.98

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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.