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Finding the Fourth Proportional to 30,813.50, 42,522.59 and 16,666.34

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Solution

The fourth proportional to 30,813.50, 42,522.59 and 16,666.34 is: 22,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.50 : 42,522.59 = 16,666.34 : x
  2. Step 2: Convert to fraction form
    30,813.50/42,522.59 = 16,666.34/x
  3. Step 3: Cross multiply
    30,813.50x = 42,522.59 × 16,666.34
  4. Step 4: Simplify right side
    30,813.50x = 708,695,771.67
  5. Step 5: Solve for x
    x = 708,695,771.67/30,813.50
  6. Step 6: Final answer
    x = 22,999.52

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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.