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Finding the Fourth Proportional to 25,328, 38,003.13 and 13,478.98

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Solution

The fourth proportional to 25,328, 38,003.13 and 13,478.98 is: 20,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,328 : 38,003.13 = 13,478.98 : x
  2. Step 2: Convert to fraction form
    25,328/38,003.13 = 13,478.98/x
  3. Step 3: Cross multiply
    25,328x = 38,003.13 × 13,478.98
  4. Step 4: Simplify right side
    25,328x = 512,243,429.21
  5. Step 5: Solve for x
    x = 512,243,429.21/25,328
  6. Step 6: Final answer
    x = 20,224.39

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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.