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Finding the Fourth Proportional to 14,102.09, 19,460.99 and 7,814.57

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Solution

The fourth proportional to 14,102.09, 19,460.99 and 7,814.57 is: 10,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.09 : 19,460.99 = 7,814.57 : x
  2. Step 2: Convert to fraction form
    14,102.09/19,460.99 = 7,814.57/x
  3. Step 3: Cross multiply
    14,102.09x = 19,460.99 × 7,814.57
  4. Step 4: Simplify right side
    14,102.09x = 152,079,190.86
  5. Step 5: Solve for x
    x = 152,079,190.86/14,102.09
  6. Step 6: Final answer
    x = 10,784.16

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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.