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Finding the Fourth Proportional to 21,085, 31,632.36 and 7,234

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Solution

The fourth proportional to 21,085, 31,632.36 and 7,234 is: 10,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085 : 31,632.36 = 7,234 : x
  2. Step 2: Convert to fraction form
    21,085/31,632.36 = 7,234/x
  3. Step 3: Cross multiply
    21,085x = 31,632.36 × 7,234
  4. Step 4: Simplify right side
    21,085x = 228,828,492.24
  5. Step 5: Solve for x
    x = 228,828,492.24/21,085
  6. Step 6: Final answer
    x = 10,852.67

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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.