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Finding the Fourth Proportional to 30,410.65, 41,979.50 and 18,477.80

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Solution

The fourth proportional to 30,410.65, 41,979.50 and 18,477.80 is: 25,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410.65 : 41,979.50 = 18,477.80 : x
  2. Step 2: Convert to fraction form
    30,410.65/41,979.50 = 18,477.80/x
  3. Step 3: Cross multiply
    30,410.65x = 41,979.50 × 18,477.80
  4. Step 4: Simplify right side
    30,410.65x = 775,688,805.10
  5. Step 5: Solve for x
    x = 775,688,805.10/30,410.65
  6. Step 6: Final answer
    x = 25,507.14

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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.