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Finding the Fourth Proportional to 13,678, 18,875.64 and 8,712.88

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Solution

The fourth proportional to 13,678, 18,875.64 and 8,712.88 is: 12,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678 : 18,875.64 = 8,712.88 : x
  2. Step 2: Convert to fraction form
    13,678/18,875.64 = 8,712.88/x
  3. Step 3: Cross multiply
    13,678x = 18,875.64 × 8,712.88
  4. Step 4: Simplify right side
    13,678x = 164,461,186.24
  5. Step 5: Solve for x
    x = 164,461,186.24/13,678
  6. Step 6: Final answer
    x = 12,023.77

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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.