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Finding the Fourth Proportional to 30,590.80, 45,783.80 and 21,374.80

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Solution

The fourth proportional to 30,590.80, 45,783.80 and 21,374.80 is: 31,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.80 : 45,783.80 = 21,374.80 : x
  2. Step 2: Convert to fraction form
    30,590.80/45,783.80 = 21,374.80/x
  3. Step 3: Cross multiply
    30,590.80x = 45,783.80 × 21,374.80
  4. Step 4: Simplify right side
    30,590.80x = 978,619,568.24
  5. Step 5: Solve for x
    x = 978,619,568.24/30,590.80
  6. Step 6: Final answer
    x = 31,990.65

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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.