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Finding the Fourth Proportional to 7,830.92, 10,800.39 and 6,884.71

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Solution

The fourth proportional to 7,830.92, 10,800.39 and 6,884.71 is: 9,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.92 : 10,800.39 = 6,884.71 : x
  2. Step 2: Convert to fraction form
    7,830.92/10,800.39 = 6,884.71/x
  3. Step 3: Cross multiply
    7,830.92x = 10,800.39 × 6,884.71
  4. Step 4: Simplify right side
    7,830.92x = 74,357,553.04
  5. Step 5: Solve for x
    x = 74,357,553.04/7,830.92
  6. Step 6: Final answer
    x = 9,495.38

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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.