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Finding the Fourth Proportional to 4,726, 7,088 and 4,491.80

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Solution

The fourth proportional to 4,726, 7,088 and 4,491.80 is: 6,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726 : 7,088 = 4,491.80 : x
  2. Step 2: Convert to fraction form
    4,726/7,088 = 4,491.80/x
  3. Step 3: Cross multiply
    4,726x = 7,088 × 4,491.80
  4. Step 4: Simplify right side
    4,726x = 31,837,878.40
  5. Step 5: Solve for x
    x = 31,837,878.40/4,726
  6. Step 6: Final answer
    x = 6,736.75

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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.