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Finding the Fourth Proportional to 7,146.81, 10,718.60 and 2,529.81

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Solution

The fourth proportional to 7,146.81, 10,718.60 and 2,529.81 is: 3,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.81 : 10,718.60 = 2,529.81 : x
  2. Step 2: Convert to fraction form
    7,146.81/10,718.60 = 2,529.81/x
  3. Step 3: Cross multiply
    7,146.81x = 10,718.60 × 2,529.81
  4. Step 4: Simplify right side
    7,146.81x = 27,116,008.82
  5. Step 5: Solve for x
    x = 27,116,008.82/7,146.81
  6. Step 6: Final answer
    x = 3,794.14

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Why These Related Problems?

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