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Finding the Fourth Proportional to 9,291.63, 12,820.55 and 5,889.77

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Solution

The fourth proportional to 9,291.63, 12,820.55 and 5,889.77 is: 8,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.63 : 12,820.55 = 5,889.77 : x
  2. Step 2: Convert to fraction form
    9,291.63/12,820.55 = 5,889.77/x
  3. Step 3: Cross multiply
    9,291.63x = 12,820.55 × 5,889.77
  4. Step 4: Simplify right side
    9,291.63x = 75,509,997.22
  5. Step 5: Solve for x
    x = 75,509,997.22/9,291.63
  6. Step 6: Final answer
    x = 8,126.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.