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Finding the Fourth Proportional to 4,130, 6,195.36 and 1,052

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Solution

The fourth proportional to 4,130, 6,195.36 and 1,052 is: 1,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130 : 6,195.36 = 1,052 : x
  2. Step 2: Convert to fraction form
    4,130/6,195.36 = 1,052/x
  3. Step 3: Cross multiply
    4,130x = 6,195.36 × 1,052
  4. Step 4: Simplify right side
    4,130x = 6,517,518.72
  5. Step 5: Solve for x
    x = 6,517,518.72/4,130
  6. Step 6: Final answer
    x = 1,578.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.