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Finding the Fourth Proportional to 7,143, 10,714.64 and 1,949.02

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Solution

The fourth proportional to 7,143, 10,714.64 and 1,949.02 is: 2,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143 : 10,714.64 = 1,949.02 : x
  2. Step 2: Convert to fraction form
    7,143/10,714.64 = 1,949.02/x
  3. Step 3: Cross multiply
    7,143x = 10,714.64 × 1,949.02
  4. Step 4: Simplify right side
    7,143x = 20,883,047.65
  5. Step 5: Solve for x
    x = 20,883,047.65/7,143
  6. Step 6: Final answer
    x = 2,923.57

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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.