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Finding the Fourth Proportional to 12,186.48, 18,308.92 and 7,812.48

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Solution

The fourth proportional to 12,186.48, 18,308.92 and 7,812.48 is: 11,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.48 : 18,308.92 = 7,812.48 : x
  2. Step 2: Convert to fraction form
    12,186.48/18,308.92 = 7,812.48/x
  3. Step 3: Cross multiply
    12,186.48x = 18,308.92 × 7,812.48
  4. Step 4: Simplify right side
    12,186.48x = 143,038,071.32
  5. Step 5: Solve for x
    x = 143,038,071.32/12,186.48
  6. Step 6: Final answer
    x = 11,737.44

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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.