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Finding the Fourth Proportional to 30,861, 42,590.00 and 17,431.91

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Solution

The fourth proportional to 30,861, 42,590.00 and 17,431.91 is: 24,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861 : 42,590.00 = 17,431.91 : x
  2. Step 2: Convert to fraction form
    30,861/42,590.00 = 17,431.91/x
  3. Step 3: Cross multiply
    30,861x = 42,590.00 × 17,431.91
  4. Step 4: Simplify right side
    30,861x = 742,425,037.24
  5. Step 5: Solve for x
    x = 742,425,037.24/30,861
  6. Step 6: Final answer
    x = 24,057.06

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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.