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Finding the Fourth Proportional to 30,509.70, 42,104.96 and 17,080.15

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Solution

The fourth proportional to 30,509.70, 42,104.96 and 17,080.15 is: 23,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.70 : 42,104.96 = 17,080.15 : x
  2. Step 2: Convert to fraction form
    30,509.70/42,104.96 = 17,080.15/x
  3. Step 3: Cross multiply
    30,509.70x = 42,104.96 × 17,080.15
  4. Step 4: Simplify right side
    30,509.70x = 719,159,080.95
  5. Step 5: Solve for x
    x = 719,159,080.95/30,509.70
  6. Step 6: Final answer
    x = 23,571.49

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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.