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Finding the Fourth Proportional to 30,490.85, 45,709.99 and 11,784.01

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Solution

The fourth proportional to 30,490.85, 45,709.99 and 11,784.01 is: 17,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490.85 : 45,709.99 = 11,784.01 : x
  2. Step 2: Convert to fraction form
    30,490.85/45,709.99 = 11,784.01/x
  3. Step 3: Cross multiply
    30,490.85x = 45,709.99 × 11,784.01
  4. Step 4: Simplify right side
    30,490.85x = 538,646,979.26
  5. Step 5: Solve for x
    x = 538,646,979.26/30,490.85
  6. Step 6: Final answer
    x = 17,665.86

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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.