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Finding the Fourth Proportional to 15,461, 23,191.50 and 5,072.76

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Solution

The fourth proportional to 15,461, 23,191.50 and 5,072.76 is: 7,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461 : 23,191.50 = 5,072.76 : x
  2. Step 2: Convert to fraction form
    15,461/23,191.50 = 5,072.76/x
  3. Step 3: Cross multiply
    15,461x = 23,191.50 × 5,072.76
  4. Step 4: Simplify right side
    15,461x = 117,644,913.54
  5. Step 5: Solve for x
    x = 117,644,913.54/15,461
  6. Step 6: Final answer
    x = 7,609.14

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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.