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Finding the Fourth Proportional to 8,838, 13,258.62 and 4,221

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Solution

The fourth proportional to 8,838, 13,258.62 and 4,221 is: 6,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838 : 13,258.62 = 4,221 : x
  2. Step 2: Convert to fraction form
    8,838/13,258.62 = 4,221/x
  3. Step 3: Cross multiply
    8,838x = 13,258.62 × 4,221
  4. Step 4: Simplify right side
    8,838x = 55,964,635.02
  5. Step 5: Solve for x
    x = 55,964,635.02/8,838
  6. Step 6: Final answer
    x = 6,332.27

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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.