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Finding the Fourth Proportional to 30,465.84, 45,674.52 and 20,001

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Solution

The fourth proportional to 30,465.84, 45,674.52 and 20,001 is: 29,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465.84 : 45,674.52 = 20,001 : x
  2. Step 2: Convert to fraction form
    30,465.84/45,674.52 = 20,001/x
  3. Step 3: Cross multiply
    30,465.84x = 45,674.52 × 20,001
  4. Step 4: Simplify right side
    30,465.84x = 913,536,074.52
  5. Step 5: Solve for x
    x = 913,536,074.52/30,465.84
  6. Step 6: Final answer
    x = 29,985.59

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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.