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Finding the Fourth Proportional to 13,907.28, 19,192.28 and 7,619.24

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Solution

The fourth proportional to 13,907.28, 19,192.28 and 7,619.24 is: 10,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.28 : 19,192.28 = 7,619.24 : x
  2. Step 2: Convert to fraction form
    13,907.28/19,192.28 = 7,619.24/x
  3. Step 3: Cross multiply
    13,907.28x = 19,192.28 × 7,619.24
  4. Step 4: Simplify right side
    13,907.28x = 146,230,587.47
  5. Step 5: Solve for x
    x = 146,230,587.47/13,907.28
  6. Step 6: Final answer
    x = 10,514.68

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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.