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Finding the Fourth Proportional to 7,787.19, 10,746 and 4,601.49

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Solution

The fourth proportional to 7,787.19, 10,746 and 4,601.49 is: 6,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.19 : 10,746 = 4,601.49 : x
  2. Step 2: Convert to fraction form
    7,787.19/10,746 = 4,601.49/x
  3. Step 3: Cross multiply
    7,787.19x = 10,746 × 4,601.49
  4. Step 4: Simplify right side
    7,787.19x = 49,447,611.54
  5. Step 5: Solve for x
    x = 49,447,611.54/7,787.19
  6. Step 6: Final answer
    x = 6,349.87

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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.