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Finding the Fourth Proportional to 7,102.63, 9,801.27 and 3,916.48

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Solution

The fourth proportional to 7,102.63, 9,801.27 and 3,916.48 is: 5,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.63 : 9,801.27 = 3,916.48 : x
  2. Step 2: Convert to fraction form
    7,102.63/9,801.27 = 3,916.48/x
  3. Step 3: Cross multiply
    7,102.63x = 9,801.27 × 3,916.48
  4. Step 4: Simplify right side
    7,102.63x = 38,386,477.93
  5. Step 5: Solve for x
    x = 38,386,477.93/7,102.63
  6. Step 6: Final answer
    x = 5,404.54

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Why These Related Problems?

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