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Finding the Fourth Proportional to 27,928.80, 38,530.80 and 15,985.80

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Solution

The fourth proportional to 27,928.80, 38,530.80 and 15,985.80 is: 22,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928.80 : 38,530.80 = 15,985.80 : x
  2. Step 2: Convert to fraction form
    27,928.80/38,530.80 = 15,985.80/x
  3. Step 3: Cross multiply
    27,928.80x = 38,530.80 × 15,985.80
  4. Step 4: Simplify right side
    27,928.80x = 615,945,662.64
  5. Step 5: Solve for x
    x = 615,945,662.64/27,928.80
  6. Step 6: Final answer
    x = 22,054.14

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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.