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Finding the Fourth Proportional to 4,728.50, 7,091.94 and 1,264.94

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Solution

The fourth proportional to 4,728.50, 7,091.94 and 1,264.94 is: 1,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.50 : 7,091.94 = 1,264.94 : x
  2. Step 2: Convert to fraction form
    4,728.50/7,091.94 = 1,264.94/x
  3. Step 3: Cross multiply
    4,728.50x = 7,091.94 × 1,264.94
  4. Step 4: Simplify right side
    4,728.50x = 8,970,878.58
  5. Step 5: Solve for x
    x = 8,970,878.58/4,728.50
  6. Step 6: Final answer
    x = 1,897.19

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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.