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Finding the Fourth Proportional to 30,771.52, 42,464.68 and 16,624.36

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Solution

The fourth proportional to 30,771.52, 42,464.68 and 16,624.36 is: 22,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.52 : 42,464.68 = 16,624.36 : x
  2. Step 2: Convert to fraction form
    30,771.52/42,464.68 = 16,624.36/x
  3. Step 3: Cross multiply
    30,771.52x = 42,464.68 × 16,624.36
  4. Step 4: Simplify right side
    30,771.52x = 705,948,127.60
  5. Step 5: Solve for x
    x = 705,948,127.60/30,771.52
  6. Step 6: Final answer
    x = 22,941.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.