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Finding the Fourth Proportional to 8,929.92, 12,313.44 and 7,740.48

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Solution

The fourth proportional to 8,929.92, 12,313.44 and 7,740.48 is: 10,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,929.92 : 12,313.44 = 7,740.48 : x
  2. Step 2: Convert to fraction form
    8,929.92/12,313.44 = 7,740.48/x
  3. Step 3: Cross multiply
    8,929.92x = 12,313.44 × 7,740.48
  4. Step 4: Simplify right side
    8,929.92x = 95,311,936.05
  5. Step 5: Solve for x
    x = 95,311,936.05/8,929.92
  6. Step 6: Final answer
    x = 10,673.32

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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.