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Finding the Fourth Proportional to 30,909, 42,661.80 and 18,341.04

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Solution

The fourth proportional to 30,909, 42,661.80 and 18,341.04 is: 25,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909 : 42,661.80 = 18,341.04 : x
  2. Step 2: Convert to fraction form
    30,909/42,661.80 = 18,341.04/x
  3. Step 3: Cross multiply
    30,909x = 42,661.80 × 18,341.04
  4. Step 4: Simplify right side
    30,909x = 782,461,780.27
  5. Step 5: Solve for x
    x = 782,461,780.27/30,909
  6. Step 6: Final answer
    x = 25,315.01

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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.