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Finding the Fourth Proportional to 30,840, 42,559.20 and 22,920

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Solution

The fourth proportional to 30,840, 42,559.20 and 22,920 is: 31,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840 : 42,559.20 = 22,920 : x
  2. Step 2: Convert to fraction form
    30,840/42,559.20 = 22,920/x
  3. Step 3: Cross multiply
    30,840x = 42,559.20 × 22,920
  4. Step 4: Simplify right side
    30,840x = 975,456,864.00
  5. Step 5: Solve for x
    x = 975,456,864.00/30,840
  6. Step 6: Final answer
    x = 31,629.60

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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.