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Finding the Fourth Proportional to 14,525, 20,044.50 and 7,901

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Solution

The fourth proportional to 14,525, 20,044.50 and 7,901 is: 10,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,525 : 20,044.50 = 7,901 : x
  2. Step 2: Convert to fraction form
    14,525/20,044.50 = 7,901/x
  3. Step 3: Cross multiply
    14,525x = 20,044.50 × 7,901
  4. Step 4: Simplify right side
    14,525x = 158,371,594.50
  5. Step 5: Solve for x
    x = 158,371,594.50/14,525
  6. Step 6: Final answer
    x = 10,903.38

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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.