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Finding the Fourth Proportional to 14,120.51, 19,486.32 and 7,832.88

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Solution

The fourth proportional to 14,120.51, 19,486.32 and 7,832.88 is: 10,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120.51 : 19,486.32 = 7,832.88 : x
  2. Step 2: Convert to fraction form
    14,120.51/19,486.32 = 7,832.88/x
  3. Step 3: Cross multiply
    14,120.51x = 19,486.32 × 7,832.88
  4. Step 4: Simplify right side
    14,120.51x = 152,634,006.20
  5. Step 5: Solve for x
    x = 152,634,006.20/14,120.51
  6. Step 6: Final answer
    x = 10,809.39

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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.