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Finding the Fourth Proportional to 4,751.19, 7,128 and 3,835.08

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Solution

The fourth proportional to 4,751.19, 7,128 and 3,835.08 is: 5,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.19 : 7,128 = 3,835.08 : x
  2. Step 2: Convert to fraction form
    4,751.19/7,128 = 3,835.08/x
  3. Step 3: Cross multiply
    4,751.19x = 7,128 × 3,835.08
  4. Step 4: Simplify right side
    4,751.19x = 27,336,450.24
  5. Step 5: Solve for x
    x = 27,336,450.24/4,751.19
  6. Step 6: Final answer
    x = 5,753.60

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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.