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Finding the Fourth Proportional to 13,813.65, 19,062.47 and 7,845.57

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Solution

The fourth proportional to 13,813.65, 19,062.47 and 7,845.57 is: 10,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.65 : 19,062.47 = 7,845.57 : x
  2. Step 2: Convert to fraction form
    13,813.65/19,062.47 = 7,845.57/x
  3. Step 3: Cross multiply
    13,813.65x = 19,062.47 × 7,845.57
  4. Step 4: Simplify right side
    13,813.65x = 149,555,942.76
  5. Step 5: Solve for x
    x = 149,555,942.76/13,813.65
  6. Step 6: Final answer
    x = 10,826.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.