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Finding the Fourth Proportional to 10,189.97, 14,056.18 and 6,407.14

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Solution

The fourth proportional to 10,189.97, 14,056.18 and 6,407.14 is: 8,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.97 : 14,056.18 = 6,407.14 : x
  2. Step 2: Convert to fraction form
    10,189.97/14,056.18 = 6,407.14/x
  3. Step 3: Cross multiply
    10,189.97x = 14,056.18 × 6,407.14
  4. Step 4: Simplify right side
    10,189.97x = 90,059,894.00
  5. Step 5: Solve for x
    x = 90,059,894.00/10,189.97
  6. Step 6: Final answer
    x = 8,838.09

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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.