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Finding the Fourth Proportional to 8,829.84, 13,247.99 and 8,308.20

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Solution

The fourth proportional to 8,829.84, 13,247.99 and 8,308.20 is: 12,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.84 : 13,247.99 = 8,308.20 : x
  2. Step 2: Convert to fraction form
    8,829.84/13,247.99 = 8,308.20/x
  3. Step 3: Cross multiply
    8,829.84x = 13,247.99 × 8,308.20
  4. Step 4: Simplify right side
    8,829.84x = 110,066,950.52
  5. Step 5: Solve for x
    x = 110,066,950.52/8,829.84
  6. Step 6: Final answer
    x = 12,465.34

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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.