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Finding the Fourth Proportional to 7,615.62, 11,424.60 and 2,421

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Solution

The fourth proportional to 7,615.62, 11,424.60 and 2,421 is: 3,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.62 : 11,424.60 = 2,421 : x
  2. Step 2: Convert to fraction form
    7,615.62/11,424.60 = 2,421/x
  3. Step 3: Cross multiply
    7,615.62x = 11,424.60 × 2,421
  4. Step 4: Simplify right side
    7,615.62x = 27,658,956.60
  5. Step 5: Solve for x
    x = 27,658,956.60/7,615.62
  6. Step 6: Final answer
    x = 3,631.87

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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.