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Finding the Fourth Proportional to 10,909, 15,054.74 and 5,941.32

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Solution

The fourth proportional to 10,909, 15,054.74 and 5,941.32 is: 8,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909 : 15,054.74 = 5,941.32 : x
  2. Step 2: Convert to fraction form
    10,909/15,054.74 = 5,941.32/x
  3. Step 3: Cross multiply
    10,909x = 15,054.74 × 5,941.32
  4. Step 4: Simplify right side
    10,909x = 89,445,027.86
  5. Step 5: Solve for x
    x = 89,445,027.86/10,909
  6. Step 6: Final answer
    x = 8,199.20

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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.