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Finding the Fourth Proportional to 18,192.16, 27,261.84 and 9,865.12

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Solution

The fourth proportional to 18,192.16, 27,261.84 and 9,865.12 is: 14,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,192.16 : 27,261.84 = 9,865.12 : x
  2. Step 2: Convert to fraction form
    18,192.16/27,261.84 = 9,865.12/x
  3. Step 3: Cross multiply
    18,192.16x = 27,261.84 × 9,865.12
  4. Step 4: Simplify right side
    18,192.16x = 268,941,323.02
  5. Step 5: Solve for x
    x = 268,941,323.02/18,192.16
  6. Step 6: Final answer
    x = 14,783.36

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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.