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Finding the Fourth Proportional to 13,863, 19,130.22 and 7,575.24

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Solution

The fourth proportional to 13,863, 19,130.22 and 7,575.24 is: 10,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863 : 19,130.22 = 7,575.24 : x
  2. Step 2: Convert to fraction form
    13,863/19,130.22 = 7,575.24/x
  3. Step 3: Cross multiply
    13,863x = 19,130.22 × 7,575.24
  4. Step 4: Simplify right side
    13,863x = 144,916,007.75
  5. Step 5: Solve for x
    x = 144,916,007.75/13,863
  6. Step 6: Final answer
    x = 10,453.44

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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.