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Finding the Fourth Proportional to 12,140.60, 18,213.60 and 4,744.40

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Solution

The fourth proportional to 12,140.60, 18,213.60 and 4,744.40 is: 7,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.60 : 18,213.60 = 4,744.40 : x
  2. Step 2: Convert to fraction form
    12,140.60/18,213.60 = 4,744.40/x
  3. Step 3: Cross multiply
    12,140.60x = 18,213.60 × 4,744.40
  4. Step 4: Simplify right side
    12,140.60x = 86,412,603.84
  5. Step 5: Solve for x
    x = 86,412,603.84/12,140.60
  6. Step 6: Final answer
    x = 7,117.66

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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.