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Finding the Fourth Proportional to 13,902.77, 19,186.07 and 7,614.74

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Solution

The fourth proportional to 13,902.77, 19,186.07 and 7,614.74 is: 10,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.77 : 19,186.07 = 7,614.74 : x
  2. Step 2: Convert to fraction form
    13,902.77/19,186.07 = 7,614.74/x
  3. Step 3: Cross multiply
    13,902.77x = 19,186.07 × 7,614.74
  4. Step 4: Simplify right side
    13,902.77x = 146,096,800.67
  5. Step 5: Solve for x
    x = 146,096,800.67/13,902.77
  6. Step 6: Final answer
    x = 10,508.47

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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.