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Finding the Fourth Proportional to 6,882.45, 10,323.77 and 1,688.32

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Solution

The fourth proportional to 6,882.45, 10,323.77 and 1,688.32 is: 2,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.45 : 10,323.77 = 1,688.32 : x
  2. Step 2: Convert to fraction form
    6,882.45/10,323.77 = 1,688.32/x
  3. Step 3: Cross multiply
    6,882.45x = 10,323.77 × 1,688.32
  4. Step 4: Simplify right side
    6,882.45x = 17,429,827.37
  5. Step 5: Solve for x
    x = 17,429,827.37/6,882.45
  6. Step 6: Final answer
    x = 2,532.50

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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.