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Finding the Fourth Proportional to 1,095.35, 1,512.45 and 1,012.43

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Solution

The fourth proportional to 1,095.35, 1,512.45 and 1,012.43 is: 1,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.35 : 1,512.45 = 1,012.43 : x
  2. Step 2: Convert to fraction form
    1,095.35/1,512.45 = 1,012.43/x
  3. Step 3: Cross multiply
    1,095.35x = 1,512.45 × 1,012.43
  4. Step 4: Simplify right side
    1,095.35x = 1,531,253.53
  5. Step 5: Solve for x
    x = 1,531,253.53/1,095.35
  6. Step 6: Final answer
    x = 1,397.96

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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.