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Finding the Fourth Proportional to 12,709.40, 19,085.97 and 12,162.65

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Solution

The fourth proportional to 12,709.40, 19,085.97 and 12,162.65 is: 18,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.40 : 19,085.97 = 12,162.65 : x
  2. Step 2: Convert to fraction form
    12,709.40/19,085.97 = 12,162.65/x
  3. Step 3: Cross multiply
    12,709.40x = 19,085.97 × 12,162.65
  4. Step 4: Simplify right side
    12,709.40x = 232,135,973.02
  5. Step 5: Solve for x
    x = 232,135,973.02/12,709.40
  6. Step 6: Final answer
    x = 18,264.90

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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.