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Finding the Fourth Proportional to 30,389.63, 45,581.00 and 8,201.70

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Solution

The fourth proportional to 30,389.63, 45,581.00 and 8,201.70 is: 12,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,389.63 : 45,581.00 = 8,201.70 : x
  2. Step 2: Convert to fraction form
    30,389.63/45,581.00 = 8,201.70/x
  3. Step 3: Cross multiply
    30,389.63x = 45,581.00 × 8,201.70
  4. Step 4: Simplify right side
    30,389.63x = 373,841,646.69
  5. Step 5: Solve for x
    x = 373,841,646.69/30,389.63
  6. Step 6: Final answer
    x = 12,301.62

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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.