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Finding the Fourth Proportional to 10,409.10, 14,365.49 and 5,931.92

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Solution

The fourth proportional to 10,409.10, 14,365.49 and 5,931.92 is: 8,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.10 : 14,365.49 = 5,931.92 : x
  2. Step 2: Convert to fraction form
    10,409.10/14,365.49 = 5,931.92/x
  3. Step 3: Cross multiply
    10,409.10x = 14,365.49 × 5,931.92
  4. Step 4: Simplify right side
    10,409.10x = 85,214,835.95
  5. Step 5: Solve for x
    x = 85,214,835.95/10,409.10
  6. Step 6: Final answer
    x = 8,186.57

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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.