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Finding the Fourth Proportional to 7,884.68, 11,830.40 and 2,953.68

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Solution

The fourth proportional to 7,884.68, 11,830.40 and 2,953.68 is: 4,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.68 : 11,830.40 = 2,953.68 : x
  2. Step 2: Convert to fraction form
    7,884.68/11,830.40 = 2,953.68/x
  3. Step 3: Cross multiply
    7,884.68x = 11,830.40 × 2,953.68
  4. Step 4: Simplify right side
    7,884.68x = 34,943,215.87
  5. Step 5: Solve for x
    x = 34,943,215.87/7,884.68
  6. Step 6: Final answer
    x = 4,431.79

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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.