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Finding the Fourth Proportional to 13,913.97, 20,871 and 4,053.51

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Solution

The fourth proportional to 13,913.97, 20,871 and 4,053.51 is: 6,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.97 : 20,871 = 4,053.51 : x
  2. Step 2: Convert to fraction form
    13,913.97/20,871 = 4,053.51/x
  3. Step 3: Cross multiply
    13,913.97x = 20,871 × 4,053.51
  4. Step 4: Simplify right side
    13,913.97x = 84,600,807.21
  5. Step 5: Solve for x
    x = 84,600,807.21/13,913.97
  6. Step 6: Final answer
    x = 6,080.28

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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.