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Finding the Fourth Proportional to 3,316.48, 4,576.72 and 1,972.16

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Solution

The fourth proportional to 3,316.48, 4,576.72 and 1,972.16 is: 2,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.48 : 4,576.72 = 1,972.16 : x
  2. Step 2: Convert to fraction form
    3,316.48/4,576.72 = 1,972.16/x
  3. Step 3: Cross multiply
    3,316.48x = 4,576.72 × 1,972.16
  4. Step 4: Simplify right side
    3,316.48x = 9,026,024.12
  5. Step 5: Solve for x
    x = 9,026,024.12/3,316.48
  6. Step 6: Final answer
    x = 2,721.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.