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Finding the Fourth Proportional to 20,398.56, 30,594.38 and 5,604

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Solution

The fourth proportional to 20,398.56, 30,594.38 and 5,604 is: 8,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,398.56 : 30,594.38 = 5,604 : x
  2. Step 2: Convert to fraction form
    20,398.56/30,594.38 = 5,604/x
  3. Step 3: Cross multiply
    20,398.56x = 30,594.38 × 5,604
  4. Step 4: Simplify right side
    20,398.56x = 171,450,877.50
  5. Step 5: Solve for x
    x = 171,450,877.50/20,398.56
  6. Step 6: Final answer
    x = 8,405.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.