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Finding the Fourth Proportional to 8,383.83, 12,581.04 and 4,688.49

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Solution

The fourth proportional to 8,383.83, 12,581.04 and 4,688.49 is: 7,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.83 : 12,581.04 = 4,688.49 : x
  2. Step 2: Convert to fraction form
    8,383.83/12,581.04 = 4,688.49/x
  3. Step 3: Cross multiply
    8,383.83x = 12,581.04 × 4,688.49
  4. Step 4: Simplify right side
    8,383.83x = 58,986,080.23
  5. Step 5: Solve for x
    x = 58,986,080.23/8,383.83
  6. Step 6: Final answer
    x = 7,035.70

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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.