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Finding the Fourth Proportional to 9,408.76, 13,000.23 and 9,072

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Solution

The fourth proportional to 9,408.76, 13,000.23 and 9,072 is: 12,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.76 : 13,000.23 = 9,072 : x
  2. Step 2: Convert to fraction form
    9,408.76/13,000.23 = 9,072/x
  3. Step 3: Cross multiply
    9,408.76x = 13,000.23 × 9,072
  4. Step 4: Simplify right side
    9,408.76x = 117,938,086.56
  5. Step 5: Solve for x
    x = 117,938,086.56/9,408.76
  6. Step 6: Final answer
    x = 12,534.92

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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.