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Finding the Fourth Proportional to 30,367, 45,574.04 and 21,072.28

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Solution

The fourth proportional to 30,367, 45,574.04 and 21,072.28 is: 31,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,367 : 45,574.04 = 21,072.28 : x
  2. Step 2: Convert to fraction form
    30,367/45,574.04 = 21,072.28/x
  3. Step 3: Cross multiply
    30,367x = 45,574.04 × 21,072.28
  4. Step 4: Simplify right side
    30,367x = 960,348,931.61
  5. Step 5: Solve for x
    x = 960,348,931.61/30,367
  6. Step 6: Final answer
    x = 31,624.75

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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.