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Finding the Fourth Proportional to 7,856.68, 11,782.50 and 7,339

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Solution

The fourth proportional to 7,856.68, 11,782.50 and 7,339 is: 11,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.68 : 11,782.50 = 7,339 : x
  2. Step 2: Convert to fraction form
    7,856.68/11,782.50 = 7,339/x
  3. Step 3: Cross multiply
    7,856.68x = 11,782.50 × 7,339
  4. Step 4: Simplify right side
    7,856.68x = 86,471,767.50
  5. Step 5: Solve for x
    x = 86,471,767.50/7,856.68
  6. Step 6: Final answer
    x = 11,006.15

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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.