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Finding the Fourth Proportional to 1,787.36, 2,466.50 and 1,001.45

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Solution

The fourth proportional to 1,787.36, 2,466.50 and 1,001.45 is: 1,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.36 : 2,466.50 = 1,001.45 : x
  2. Step 2: Convert to fraction form
    1,787.36/2,466.50 = 1,001.45/x
  3. Step 3: Cross multiply
    1,787.36x = 2,466.50 × 1,001.45
  4. Step 4: Simplify right side
    1,787.36x = 2,470,059.09
  5. Step 5: Solve for x
    x = 2,470,059.09/1,787.36
  6. Step 6: Final answer
    x = 1,381.96

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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.