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Finding the Fourth Proportional to 10,055.34, 15,083.10 and 3,129.84

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Solution

The fourth proportional to 10,055.34, 15,083.10 and 3,129.84 is: 4,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.34 : 15,083.10 = 3,129.84 : x
  2. Step 2: Convert to fraction form
    10,055.34/15,083.10 = 3,129.84/x
  3. Step 3: Cross multiply
    10,055.34x = 15,083.10 × 3,129.84
  4. Step 4: Simplify right side
    10,055.34x = 47,207,689.70
  5. Step 5: Solve for x
    x = 47,207,689.70/10,055.34
  6. Step 6: Final answer
    x = 4,694.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.