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Finding the Fourth Proportional to 30,575.80, 45,858.78 and 8,384.03

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Solution

The fourth proportional to 30,575.80, 45,858.78 and 8,384.03 is: 12,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.80 : 45,858.78 = 8,384.03 : x
  2. Step 2: Convert to fraction form
    30,575.80/45,858.78 = 8,384.03/x
  3. Step 3: Cross multiply
    30,575.80x = 45,858.78 × 8,384.03
  4. Step 4: Simplify right side
    30,575.80x = 384,481,387.28
  5. Step 5: Solve for x
    x = 384,481,387.28/30,575.80
  6. Step 6: Final answer
    x = 12,574.70

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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.