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Finding the Fourth Proportional to 30,582.97, 45,868.98 and 8,393.42

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Solution

The fourth proportional to 30,582.97, 45,868.98 and 8,393.42 is: 12,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.97 : 45,868.98 = 8,393.42 : x
  2. Step 2: Convert to fraction form
    30,582.97/45,868.98 = 8,393.42/x
  3. Step 3: Cross multiply
    30,582.97x = 45,868.98 × 8,393.42
  4. Step 4: Simplify right side
    30,582.97x = 384,997,760.26
  5. Step 5: Solve for x
    x = 384,997,760.26/30,582.97
  6. Step 6: Final answer
    x = 12,588.63

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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.