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Finding the Fourth Proportional to 52,513, 78,769.50 and 13,601

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Solution

The fourth proportional to 52,513, 78,769.50 and 13,601 is: 20,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,513 : 78,769.50 = 13,601 : x
  2. Step 2: Convert to fraction form
    52,513/78,769.50 = 13,601/x
  3. Step 3: Cross multiply
    52,513x = 78,769.50 × 13,601
  4. Step 4: Simplify right side
    52,513x = 1,071,343,969.50
  5. Step 5: Solve for x
    x = 1,071,343,969.50/52,513
  6. Step 6: Final answer
    x = 20,401.50

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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.