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Finding the Fourth Proportional to 9,871.68, 14,810.49 and 3,634.68

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Solution

The fourth proportional to 9,871.68, 14,810.49 and 3,634.68 is: 5,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.68 : 14,810.49 = 3,634.68 : x
  2. Step 2: Convert to fraction form
    9,871.68/14,810.49 = 3,634.68/x
  3. Step 3: Cross multiply
    9,871.68x = 14,810.49 × 3,634.68
  4. Step 4: Simplify right side
    9,871.68x = 53,831,391.79
  5. Step 5: Solve for x
    x = 53,831,391.79/9,871.68
  6. Step 6: Final answer
    x = 5,453.11

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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.