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Finding the Fourth Proportional to 30,806.66, 42,510 and 22,744.60

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Solution

The fourth proportional to 30,806.66, 42,510 and 22,744.60 is: 31,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.66 : 42,510 = 22,744.60 : x
  2. Step 2: Convert to fraction form
    30,806.66/42,510 = 22,744.60/x
  3. Step 3: Cross multiply
    30,806.66x = 42,510 × 22,744.60
  4. Step 4: Simplify right side
    30,806.66x = 966,872,946.00
  5. Step 5: Solve for x
    x = 966,872,946.00/30,806.66
  6. Step 6: Final answer
    x = 31,385.19

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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.