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Finding the Fourth Proportional to 7,146, 10,719.36 and 2,529.36

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Solution

The fourth proportional to 7,146, 10,719.36 and 2,529.36 is: 3,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146 : 10,719.36 = 2,529.36 : x
  2. Step 2: Convert to fraction form
    7,146/10,719.36 = 2,529.36/x
  3. Step 3: Cross multiply
    7,146x = 10,719.36 × 2,529.36
  4. Step 4: Simplify right side
    7,146x = 27,113,120.41
  5. Step 5: Solve for x
    x = 27,113,120.41/7,146
  6. Step 6: Final answer
    x = 3,794.17

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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.