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Finding the Fourth Proportional to 3,152.51, 4,729 and 961.26

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Solution

The fourth proportional to 3,152.51, 4,729 and 961.26 is: 1,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.51 : 4,729 = 961.26 : x
  2. Step 2: Convert to fraction form
    3,152.51/4,729 = 961.26/x
  3. Step 3: Cross multiply
    3,152.51x = 4,729 × 961.26
  4. Step 4: Simplify right side
    3,152.51x = 4,545,798.54
  5. Step 5: Solve for x
    x = 4,545,798.54/3,152.51
  6. Step 6: Final answer
    x = 1,441.96

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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.