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Finding the Fourth Proportional to 10,017.68, 13,821.91 and 6,476.63

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Solution

The fourth proportional to 10,017.68, 13,821.91 and 6,476.63 is: 8,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.68 : 13,821.91 = 6,476.63 : x
  2. Step 2: Convert to fraction form
    10,017.68/13,821.91 = 6,476.63/x
  3. Step 3: Cross multiply
    10,017.68x = 13,821.91 × 6,476.63
  4. Step 4: Simplify right side
    10,017.68x = 89,519,311.66
  5. Step 5: Solve for x
    x = 89,519,311.66/10,017.68
  6. Step 6: Final answer
    x = 8,936.14

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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.