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Finding the Fourth Proportional to 1,517.66, 2,094.26 and 928.10

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Solution

The fourth proportional to 1,517.66, 2,094.26 and 928.10 is: 1,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.66 : 2,094.26 = 928.10 : x
  2. Step 2: Convert to fraction form
    1,517.66/2,094.26 = 928.10/x
  3. Step 3: Cross multiply
    1,517.66x = 2,094.26 × 928.10
  4. Step 4: Simplify right side
    1,517.66x = 1,943,682.71
  5. Step 5: Solve for x
    x = 1,943,682.71/1,517.66
  6. Step 6: Final answer
    x = 1,280.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.