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Finding the Fourth Proportional to 11,700.99, 16,147.62 and 6,987.96

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Solution

The fourth proportional to 11,700.99, 16,147.62 and 6,987.96 is: 9,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.99 : 16,147.62 = 6,987.96 : x
  2. Step 2: Convert to fraction form
    11,700.99/16,147.62 = 6,987.96/x
  3. Step 3: Cross multiply
    11,700.99x = 16,147.62 × 6,987.96
  4. Step 4: Simplify right side
    11,700.99x = 112,838,922.66
  5. Step 5: Solve for x
    x = 112,838,922.66/11,700.99
  6. Step 6: Final answer
    x = 9,643.54

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1.5x scale

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.