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Finding the Fourth Proportional to 30,912.80, 42,666.05 and 17,484.62

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Solution

The fourth proportional to 30,912.80, 42,666.05 and 17,484.62 is: 24,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.80 : 42,666.05 = 17,484.62 : x
  2. Step 2: Convert to fraction form
    30,912.80/42,666.05 = 17,484.62/x
  3. Step 3: Cross multiply
    30,912.80x = 42,666.05 × 17,484.62
  4. Step 4: Simplify right side
    30,912.80x = 745,999,370.40
  5. Step 5: Solve for x
    x = 745,999,370.40/30,912.80
  6. Step 6: Final answer
    x = 24,132.38

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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.