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Finding the Fourth Proportional to 12,459.76, 18,661.68 and 9,678

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Solution

The fourth proportional to 12,459.76, 18,661.68 and 9,678 is: 14,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459.76 : 18,661.68 = 9,678 : x
  2. Step 2: Convert to fraction form
    12,459.76/18,661.68 = 9,678/x
  3. Step 3: Cross multiply
    12,459.76x = 18,661.68 × 9,678
  4. Step 4: Simplify right side
    12,459.76x = 180,607,739.04
  5. Step 5: Solve for x
    x = 180,607,739.04/12,459.76
  6. Step 6: Final answer
    x = 14,495.28

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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.