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Finding the Fourth Proportional to 35,213, 48,596.10 and 20,309

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Solution

The fourth proportional to 35,213, 48,596.10 and 20,309 is: 28,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,213 : 48,596.10 = 20,309 : x
  2. Step 2: Convert to fraction form
    35,213/48,596.10 = 20,309/x
  3. Step 3: Cross multiply
    35,213x = 48,596.10 × 20,309
  4. Step 4: Simplify right side
    35,213x = 986,938,194.90
  5. Step 5: Solve for x
    x = 986,938,194.90/35,213
  6. Step 6: Final answer
    x = 28,027.67

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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.