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Finding the Fourth Proportional to 30,430.02, 41,991.03 and 17,000.22

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Solution

The fourth proportional to 30,430.02, 41,991.03 and 17,000.22 is: 23,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.02 : 41,991.03 = 17,000.22 : x
  2. Step 2: Convert to fraction form
    30,430.02/41,991.03 = 17,000.22/x
  3. Step 3: Cross multiply
    30,430.02x = 41,991.03 × 17,000.22
  4. Step 4: Simplify right side
    30,430.02x = 713,856,748.03
  5. Step 5: Solve for x
    x = 713,856,748.03/30,430.02
  6. Step 6: Final answer
    x = 23,458.96

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1.5x scale

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.