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Finding the Fourth Proportional to 30,571.71, 45,857.63 and 8,385.39

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Solution

The fourth proportional to 30,571.71, 45,857.63 and 8,385.39 is: 12,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.71 : 45,857.63 = 8,385.39 : x
  2. Step 2: Convert to fraction form
    30,571.71/45,857.63 = 8,385.39/x
  3. Step 3: Cross multiply
    30,571.71x = 45,857.63 × 8,385.39
  4. Step 4: Simplify right side
    30,571.71x = 384,534,070.10
  5. Step 5: Solve for x
    x = 384,534,070.10/30,571.71
  6. Step 6: Final answer
    x = 12,578.10

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1.5x scale

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.