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Finding the Fourth Proportional to 30,519.84, 45,782.76 and 9,459

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Solution

The fourth proportional to 30,519.84, 45,782.76 and 9,459 is: 14,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,519.84 : 45,782.76 = 9,459 : x
  2. Step 2: Convert to fraction form
    30,519.84/45,782.76 = 9,459/x
  3. Step 3: Cross multiply
    30,519.84x = 45,782.76 × 9,459
  4. Step 4: Simplify right side
    30,519.84x = 433,059,126.84
  5. Step 5: Solve for x
    x = 433,059,126.84/30,519.84
  6. Step 6: Final answer
    x = 14,189.43

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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.