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Finding the Fourth Proportional to 13,401.84, 20,088.48 and 7,158

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Solution

The fourth proportional to 13,401.84, 20,088.48 and 7,158 is: 10,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.84 : 20,088.48 = 7,158 : x
  2. Step 2: Convert to fraction form
    13,401.84/20,088.48 = 7,158/x
  3. Step 3: Cross multiply
    13,401.84x = 20,088.48 × 7,158
  4. Step 4: Simplify right side
    13,401.84x = 143,793,339.84
  5. Step 5: Solve for x
    x = 143,793,339.84/13,401.84
  6. Step 6: Final answer
    x = 10,729.37

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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.