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Finding the Fourth Proportional to 11,930.78, 16,461.14 and 7,459.08

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Solution

The fourth proportional to 11,930.78, 16,461.14 and 7,459.08 is: 10,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.78 : 16,461.14 = 7,459.08 : x
  2. Step 2: Convert to fraction form
    11,930.78/16,461.14 = 7,459.08/x
  3. Step 3: Cross multiply
    11,930.78x = 16,461.14 × 7,459.08
  4. Step 4: Simplify right side
    11,930.78x = 122,784,960.15
  5. Step 5: Solve for x
    x = 122,784,960.15/11,930.78
  6. Step 6: Final answer
    x = 10,291.44

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1.5x scale

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.