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Finding the Fourth Proportional to 4,543.74, 6,815.64 and 1,424.40

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Solution

The fourth proportional to 4,543.74, 6,815.64 and 1,424.40 is: 2,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.74 : 6,815.64 = 1,424.40 : x
  2. Step 2: Convert to fraction form
    4,543.74/6,815.64 = 1,424.40/x
  3. Step 3: Cross multiply
    4,543.74x = 6,815.64 × 1,424.40
  4. Step 4: Simplify right side
    4,543.74x = 9,708,197.62
  5. Step 5: Solve for x
    x = 9,708,197.62/4,543.74
  6. Step 6: Final answer
    x = 2,136.61

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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.