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Finding the Fourth Proportional to 18,485.16, 27,724.48 and 5,339.40

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Solution

The fourth proportional to 18,485.16, 27,724.48 and 5,339.40 is: 8,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,485.16 : 27,724.48 = 5,339.40 : x
  2. Step 2: Convert to fraction form
    18,485.16/27,724.48 = 5,339.40/x
  3. Step 3: Cross multiply
    18,485.16x = 27,724.48 × 5,339.40
  4. Step 4: Simplify right side
    18,485.16x = 148,032,088.51
  5. Step 5: Solve for x
    x = 148,032,088.51/18,485.16
  6. Step 6: Final answer
    x = 8,008.16

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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.