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Finding the Fourth Proportional to 9,987.66, 13,788.50 and 6,009.75

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Solution

The fourth proportional to 9,987.66, 13,788.50 and 6,009.75 is: 8,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.66 : 13,788.50 = 6,009.75 : x
  2. Step 2: Convert to fraction form
    9,987.66/13,788.50 = 6,009.75/x
  3. Step 3: Cross multiply
    9,987.66x = 13,788.50 × 6,009.75
  4. Step 4: Simplify right side
    9,987.66x = 82,865,407.83
  5. Step 5: Solve for x
    x = 82,865,407.83/9,987.66
  6. Step 6: Final answer
    x = 8,296.78

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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.