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Finding the Fourth Proportional to 12,277.96, 18,394.92 and 7,460.64

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Solution

The fourth proportional to 12,277.96, 18,394.92 and 7,460.64 is: 11,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.96 : 18,394.92 = 7,460.64 : x
  2. Step 2: Convert to fraction form
    12,277.96/18,394.92 = 7,460.64/x
  3. Step 3: Cross multiply
    12,277.96x = 18,394.92 × 7,460.64
  4. Step 4: Simplify right side
    12,277.96x = 137,237,875.95
  5. Step 5: Solve for x
    x = 137,237,875.95/12,277.96
  6. Step 6: Final answer
    x = 11,177.58

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1.5x scale

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.