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Finding the Fourth Proportional to 30,282.94, 45,419 and 9,217.87

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Solution

The fourth proportional to 30,282.94, 45,419 and 9,217.87 is: 13,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.94 : 45,419 = 9,217.87 : x
  2. Step 2: Convert to fraction form
    30,282.94/45,419 = 9,217.87/x
  3. Step 3: Cross multiply
    30,282.94x = 45,419 × 9,217.87
  4. Step 4: Simplify right side
    30,282.94x = 418,666,437.53
  5. Step 5: Solve for x
    x = 418,666,437.53/30,282.94
  6. Step 6: Final answer
    x = 13,825.16

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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.