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Finding the Fourth Proportional to 7,889.84, 11,834.68 and 2,045.92

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Solution

The fourth proportional to 7,889.84, 11,834.68 and 2,045.92 is: 3,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.84 : 11,834.68 = 2,045.92 : x
  2. Step 2: Convert to fraction form
    7,889.84/11,834.68 = 2,045.92/x
  3. Step 3: Cross multiply
    7,889.84x = 11,834.68 × 2,045.92
  4. Step 4: Simplify right side
    7,889.84x = 24,212,808.51
  5. Step 5: Solve for x
    x = 24,212,808.51/7,889.84
  6. Step 6: Final answer
    x = 3,068.86

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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.