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Finding the Fourth Proportional to 27,987.60, 41,968.80 and 8,259.36

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Solution

The fourth proportional to 27,987.60, 41,968.80 and 8,259.36 is: 12,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.60 : 41,968.80 = 8,259.36 : x
  2. Step 2: Convert to fraction form
    27,987.60/41,968.80 = 8,259.36/x
  3. Step 3: Cross multiply
    27,987.60x = 41,968.80 × 8,259.36
  4. Step 4: Simplify right side
    27,987.60x = 346,635,427.97
  5. Step 5: Solve for x
    x = 346,635,427.97/27,987.60
  6. Step 6: Final answer
    x = 12,385.32

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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.