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Finding the Fourth Proportional to 12,212.49, 18,347.90 and 7,838.49

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Solution

The fourth proportional to 12,212.49, 18,347.90 and 7,838.49 is: 11,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.49 : 18,347.90 = 7,838.49 : x
  2. Step 2: Convert to fraction form
    12,212.49/18,347.90 = 7,838.49/x
  3. Step 3: Cross multiply
    12,212.49x = 18,347.90 × 7,838.49
  4. Step 4: Simplify right side
    12,212.49x = 143,819,830.67
  5. Step 5: Solve for x
    x = 143,819,830.67/12,212.49
  6. Step 6: Final answer
    x = 11,776.45

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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.