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Finding the Fourth Proportional to 7,838.78, 10,817.69 and 4,302

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Solution

The fourth proportional to 7,838.78, 10,817.69 and 4,302 is: 5,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.78 : 10,817.69 = 4,302 : x
  2. Step 2: Convert to fraction form
    7,838.78/10,817.69 = 4,302/x
  3. Step 3: Cross multiply
    7,838.78x = 10,817.69 × 4,302
  4. Step 4: Simplify right side
    7,838.78x = 46,537,680.87
  5. Step 5: Solve for x
    x = 46,537,680.87/7,838.78
  6. Step 6: Final answer
    x = 5,936.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.