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Finding the Fourth Proportional to 12,899, 17,800.62 and 7,011

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Solution

The fourth proportional to 12,899, 17,800.62 and 7,011 is: 9,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899 : 17,800.62 = 7,011 : x
  2. Step 2: Convert to fraction form
    12,899/17,800.62 = 7,011/x
  3. Step 3: Cross multiply
    12,899x = 17,800.62 × 7,011
  4. Step 4: Simplify right side
    12,899x = 124,800,146.82
  5. Step 5: Solve for x
    x = 124,800,146.82/12,899
  6. Step 6: Final answer
    x = 9,675.18

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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.