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Finding the Fourth Proportional to 11,860.98, 17,752.82 and 8,739.74

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Solution

The fourth proportional to 11,860.98, 17,752.82 and 8,739.74 is: 13,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.98 : 17,752.82 = 8,739.74 : x
  2. Step 2: Convert to fraction form
    11,860.98/17,752.82 = 8,739.74/x
  3. Step 3: Cross multiply
    11,860.98x = 17,752.82 × 8,739.74
  4. Step 4: Simplify right side
    11,860.98x = 155,155,031.07
  5. Step 5: Solve for x
    x = 155,155,031.07/11,860.98
  6. Step 6: Final answer
    x = 13,081.13

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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.