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Finding the Fourth Proportional to 27,987.66, 41,968.86 and 8,259.30

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Solution

The fourth proportional to 27,987.66, 41,968.86 and 8,259.30 is: 12,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.66 : 41,968.86 = 8,259.30 : x
  2. Step 2: Convert to fraction form
    27,987.66/41,968.86 = 8,259.30/x
  3. Step 3: Cross multiply
    27,987.66x = 41,968.86 × 8,259.30
  4. Step 4: Simplify right side
    27,987.66x = 346,633,405.40
  5. Step 5: Solve for x
    x = 346,633,405.40/27,987.66
  6. Step 6: Final answer
    x = 12,385.22

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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.