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Finding the Fourth Proportional to 3,051.94, 4,578.72 and 972

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Solution

The fourth proportional to 3,051.94, 4,578.72 and 972 is: 1,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.94 : 4,578.72 = 972 : x
  2. Step 2: Convert to fraction form
    3,051.94/4,578.72 = 972/x
  3. Step 3: Cross multiply
    3,051.94x = 4,578.72 × 972
  4. Step 4: Simplify right side
    3,051.94x = 4,450,515.84
  5. Step 5: Solve for x
    x = 4,450,515.84/3,051.94
  6. Step 6: Final answer
    x = 1,458.26

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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.