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Finding the Fourth Proportional to 13,807.51, 19,054.36 and 7,519.88

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Solution

The fourth proportional to 13,807.51, 19,054.36 and 7,519.88 is: 10,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.51 : 19,054.36 = 7,519.88 : x
  2. Step 2: Convert to fraction form
    13,807.51/19,054.36 = 7,519.88/x
  3. Step 3: Cross multiply
    13,807.51x = 19,054.36 × 7,519.88
  4. Step 4: Simplify right side
    13,807.51x = 143,286,557.71
  5. Step 5: Solve for x
    x = 143,286,557.71/13,807.51
  6. Step 6: Final answer
    x = 10,377.44

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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.