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Finding the Fourth Proportional to 30,041.49, 45,068.70 and 8,983.20

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Solution

The fourth proportional to 30,041.49, 45,068.70 and 8,983.20 is: 13,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041.49 : 45,068.70 = 8,983.20 : x
  2. Step 2: Convert to fraction form
    30,041.49/45,068.70 = 8,983.20/x
  3. Step 3: Cross multiply
    30,041.49x = 45,068.70 × 8,983.20
  4. Step 4: Simplify right side
    30,041.49x = 404,861,145.84
  5. Step 5: Solve for x
    x = 404,861,145.84/30,041.49
  6. Step 6: Final answer
    x = 13,476.73

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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.