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Finding the Fourth Proportional to 10,112.83, 15,158.83 and 3,871.14

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Solution

The fourth proportional to 10,112.83, 15,158.83 and 3,871.14 is: 5,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.83 : 15,158.83 = 3,871.14 : x
  2. Step 2: Convert to fraction form
    10,112.83/15,158.83 = 3,871.14/x
  3. Step 3: Cross multiply
    10,112.83x = 15,158.83 × 3,871.14
  4. Step 4: Simplify right side
    10,112.83x = 58,681,953.17
  5. Step 5: Solve for x
    x = 58,681,953.17/10,112.83
  6. Step 6: Final answer
    x = 5,802.72

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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.