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Finding the Fourth Proportional to 12,806.46, 19,212.30 and 7,262.46

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Solution

The fourth proportional to 12,806.46, 19,212.30 and 7,262.46 is: 10,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.46 : 19,212.30 = 7,262.46 : x
  2. Step 2: Convert to fraction form
    12,806.46/19,212.30 = 7,262.46/x
  3. Step 3: Cross multiply
    12,806.46x = 19,212.30 × 7,262.46
  4. Step 4: Simplify right side
    12,806.46x = 139,528,560.26
  5. Step 5: Solve for x
    x = 139,528,560.26/12,806.46
  6. Step 6: Final answer
    x = 10,895.17

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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.