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Finding the Fourth Proportional to 30,505.65, 45,788.06 and 14,721.78

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Solution

The fourth proportional to 30,505.65, 45,788.06 and 14,721.78 is: 22,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.65 : 45,788.06 = 14,721.78 : x
  2. Step 2: Convert to fraction form
    30,505.65/45,788.06 = 14,721.78/x
  3. Step 3: Cross multiply
    30,505.65x = 45,788.06 × 14,721.78
  4. Step 4: Simplify right side
    30,505.65x = 674,081,880.85
  5. Step 5: Solve for x
    x = 674,081,880.85/30,505.65
  6. Step 6: Final answer
    x = 22,096.96

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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.