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Finding the Fourth Proportional to 2,654.18, 3,978.38 and 1,010

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Solution

The fourth proportional to 2,654.18, 3,978.38 and 1,010 is: 1,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.18 : 3,978.38 = 1,010 : x
  2. Step 2: Convert to fraction form
    2,654.18/3,978.38 = 1,010/x
  3. Step 3: Cross multiply
    2,654.18x = 3,978.38 × 1,010
  4. Step 4: Simplify right side
    2,654.18x = 4,018,163.80
  5. Step 5: Solve for x
    x = 4,018,163.80/2,654.18
  6. Step 6: Final answer
    x = 1,513.90

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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.