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Finding the Fourth Proportional to 30,720.56, 46,081.68 and 8,534

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Solution

The fourth proportional to 30,720.56, 46,081.68 and 8,534 is: 12,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720.56 : 46,081.68 = 8,534 : x
  2. Step 2: Convert to fraction form
    30,720.56/46,081.68 = 8,534/x
  3. Step 3: Cross multiply
    30,720.56x = 46,081.68 × 8,534
  4. Step 4: Simplify right side
    30,720.56x = 393,261,057.12
  5. Step 5: Solve for x
    x = 393,261,057.12/30,720.56
  6. Step 6: Final answer
    x = 12,801.23

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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.