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Finding the Fourth Proportional to 13,815.15, 19,064.97 and 7,846.86

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Solution

The fourth proportional to 13,815.15, 19,064.97 and 7,846.86 is: 10,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.15 : 19,064.97 = 7,846.86 : x
  2. Step 2: Convert to fraction form
    13,815.15/19,064.97 = 7,846.86/x
  3. Step 3: Cross multiply
    13,815.15x = 19,064.97 × 7,846.86
  4. Step 4: Simplify right side
    13,815.15x = 149,600,150.49
  5. Step 5: Solve for x
    x = 149,600,150.49/13,815.15
  6. Step 6: Final answer
    x = 10,828.70

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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.