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Finding the Fourth Proportional to 1,910.80, 2,866.20 and 524.14

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Solution

The fourth proportional to 1,910.80, 2,866.20 and 524.14 is: 786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.80 : 2,866.20 = 524.14 : x
  2. Step 2: Convert to fraction form
    1,910.80/2,866.20 = 524.14/x
  3. Step 3: Cross multiply
    1,910.80x = 2,866.20 × 524.14
  4. Step 4: Simplify right side
    1,910.80x = 1,502,290.07
  5. Step 5: Solve for x
    x = 1,502,290.07/1,910.80
  6. Step 6: Final answer
    x = 786.21

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