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Finding the Fourth Proportional to 18,658.71, 27,989.33 and 6,971.67

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Solution

The fourth proportional to 18,658.71, 27,989.33 and 6,971.67 is: 10,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.71 : 27,989.33 = 6,971.67 : x
  2. Step 2: Convert to fraction form
    18,658.71/27,989.33 = 6,971.67/x
  3. Step 3: Cross multiply
    18,658.71x = 27,989.33 × 6,971.67
  4. Step 4: Simplify right side
    18,658.71x = 195,132,372.28
  5. Step 5: Solve for x
    x = 195,132,372.28/18,658.71
  6. Step 6: Final answer
    x = 10,457.98

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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.