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Finding the Fourth Proportional to 1,500.75, 2,072.30 and 942.17

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Solution

The fourth proportional to 1,500.75, 2,072.30 and 942.17 is: 1,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.75 : 2,072.30 = 942.17 : x
  2. Step 2: Convert to fraction form
    1,500.75/2,072.30 = 942.17/x
  3. Step 3: Cross multiply
    1,500.75x = 2,072.30 × 942.17
  4. Step 4: Simplify right side
    1,500.75x = 1,952,443.82
  5. Step 5: Solve for x
    x = 1,952,443.82/1,500.75
  6. Step 6: Final answer
    x = 1,300.98

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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.