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Finding the Fourth Proportional to 30,602.23, 45,905.57 and 12,815

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Solution

The fourth proportional to 30,602.23, 45,905.57 and 12,815 is: 19,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.23 : 45,905.57 = 12,815 : x
  2. Step 2: Convert to fraction form
    30,602.23/45,905.57 = 12,815/x
  3. Step 3: Cross multiply
    30,602.23x = 45,905.57 × 12,815
  4. Step 4: Simplify right side
    30,602.23x = 588,279,879.55
  5. Step 5: Solve for x
    x = 588,279,879.55/30,602.23
  6. Step 6: Final answer
    x = 19,223.43

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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.