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Finding the Fourth Proportional to 13,468, 18,587.28 and 7,883.68

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Solution

The fourth proportional to 13,468, 18,587.28 and 7,883.68 is: 10,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468 : 18,587.28 = 7,883.68 : x
  2. Step 2: Convert to fraction form
    13,468/18,587.28 = 7,883.68/x
  3. Step 3: Cross multiply
    13,468x = 18,587.28 × 7,883.68
  4. Step 4: Simplify right side
    13,468x = 146,536,167.59
  5. Step 5: Solve for x
    x = 146,536,167.59/13,468
  6. Step 6: Final answer
    x = 10,880.32

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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.