Home / 13,824.10-19,077.30-7,857.74

Finding the Fourth Proportional to 13,824.10, 19,077.30 and 7,857.74

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Solution

The fourth proportional to 13,824.10, 19,077.30 and 7,857.74 is: 10,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.10 : 19,077.30 = 7,857.74 : x
  2. Step 2: Convert to fraction form
    13,824.10/19,077.30 = 7,857.74/x
  3. Step 3: Cross multiply
    13,824.10x = 19,077.30 × 7,857.74
  4. Step 4: Simplify right side
    13,824.10x = 149,904,463.30
  5. Step 5: Solve for x
    x = 149,904,463.30/13,824.10
  6. Step 6: Final answer
    x = 10,843.71

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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.