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Finding the Fourth Proportional to 10,672.42, 14,728.81 and 5,892.80

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Solution

The fourth proportional to 10,672.42, 14,728.81 and 5,892.80 is: 8,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.42 : 14,728.81 = 5,892.80 : x
  2. Step 2: Convert to fraction form
    10,672.42/14,728.81 = 5,892.80/x
  3. Step 3: Cross multiply
    10,672.42x = 14,728.81 × 5,892.80
  4. Step 4: Simplify right side
    10,672.42x = 86,793,931.57
  5. Step 5: Solve for x
    x = 86,793,931.57/10,672.42
  6. Step 6: Final answer
    x = 8,132.54

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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.