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Finding the Fourth Proportional to 12,699.73, 19,051.98 and 5,680.02

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Solution

The fourth proportional to 12,699.73, 19,051.98 and 5,680.02 is: 8,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.73 : 19,051.98 = 5,680.02 : x
  2. Step 2: Convert to fraction form
    12,699.73/19,051.98 = 5,680.02/x
  3. Step 3: Cross multiply
    12,699.73x = 19,051.98 × 5,680.02
  4. Step 4: Simplify right side
    12,699.73x = 108,215,627.44
  5. Step 5: Solve for x
    x = 108,215,627.44/12,699.73
  6. Step 6: Final answer
    x = 8,521.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.