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Finding the Fourth Proportional to 9,987.85, 14,958.42 and 7,893.80

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Solution

The fourth proportional to 9,987.85, 14,958.42 and 7,893.80 is: 11,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.85 : 14,958.42 = 7,893.80 : x
  2. Step 2: Convert to fraction form
    9,987.85/14,958.42 = 7,893.80/x
  3. Step 3: Cross multiply
    9,987.85x = 14,958.42 × 7,893.80
  4. Step 4: Simplify right side
    9,987.85x = 118,078,736.33
  5. Step 5: Solve for x
    x = 118,078,736.33/9,987.85
  6. Step 6: Final answer
    x = 11,822.24

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1.5x scale

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.