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Finding the Fourth Proportional to 32,828, 45,304.28 and 18,682.16

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Solution

The fourth proportional to 32,828, 45,304.28 and 18,682.16 is: 25,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828 : 45,304.28 = 18,682.16 : x
  2. Step 2: Convert to fraction form
    32,828/45,304.28 = 18,682.16/x
  3. Step 3: Cross multiply
    32,828x = 45,304.28 × 18,682.16
  4. Step 4: Simplify right side
    32,828x = 846,381,807.64
  5. Step 5: Solve for x
    x = 846,381,807.64/32,828
  6. Step 6: Final answer
    x = 25,782.31

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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.