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Finding the Fourth Proportional to 4,746, 7,121.74 and 1,972.77

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Solution

The fourth proportional to 4,746, 7,121.74 and 1,972.77 is: 2,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746 : 7,121.74 = 1,972.77 : x
  2. Step 2: Convert to fraction form
    4,746/7,121.74 = 1,972.77/x
  3. Step 3: Cross multiply
    4,746x = 7,121.74 × 1,972.77
  4. Step 4: Simplify right side
    4,746x = 14,049,555.02
  5. Step 5: Solve for x
    x = 14,049,555.02/4,746
  6. Step 6: Final answer
    x = 2,960.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.