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Finding the Fourth Proportional to 10,171.63, 14,036.65 and 6,628.15

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Solution

The fourth proportional to 10,171.63, 14,036.65 and 6,628.15 is: 9,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.63 : 14,036.65 = 6,628.15 : x
  2. Step 2: Convert to fraction form
    10,171.63/14,036.65 = 6,628.15/x
  3. Step 3: Cross multiply
    10,171.63x = 14,036.65 × 6,628.15
  4. Step 4: Simplify right side
    10,171.63x = 93,037,021.70
  5. Step 5: Solve for x
    x = 93,037,021.70/10,171.63
  6. Step 6: Final answer
    x = 9,146.72

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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.