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Finding the Fourth Proportional to 30,582.72, 45,871.56 and 21,661.20

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Solution

The fourth proportional to 30,582.72, 45,871.56 and 21,661.20 is: 32,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.72 : 45,871.56 = 21,661.20 : x
  2. Step 2: Convert to fraction form
    30,582.72/45,871.56 = 21,661.20/x
  3. Step 3: Cross multiply
    30,582.72x = 45,871.56 × 21,661.20
  4. Step 4: Simplify right side
    30,582.72x = 993,633,035.47
  5. Step 5: Solve for x
    x = 993,633,035.47/30,582.72
  6. Step 6: Final answer
    x = 32,490.02

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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.