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Finding the Fourth Proportional to 8,051.76, 11,109.16 and 6,987.84

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Solution

The fourth proportional to 8,051.76, 11,109.16 and 6,987.84 is: 9,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.76 : 11,109.16 = 6,987.84 : x
  2. Step 2: Convert to fraction form
    8,051.76/11,109.16 = 6,987.84/x
  3. Step 3: Cross multiply
    8,051.76x = 11,109.16 × 6,987.84
  4. Step 4: Simplify right side
    8,051.76x = 77,629,032.61
  5. Step 5: Solve for x
    x = 77,629,032.61/8,051.76
  6. Step 6: Final answer
    x = 9,641.25

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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.