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Finding the Fourth Proportional to 30,491.78, 45,737.33 and 8,305.00

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Solution

The fourth proportional to 30,491.78, 45,737.33 and 8,305.00 is: 12,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.78 : 45,737.33 = 8,305.00 : x
  2. Step 2: Convert to fraction form
    30,491.78/45,737.33 = 8,305.00/x
  3. Step 3: Cross multiply
    30,491.78x = 45,737.33 × 8,305.00
  4. Step 4: Simplify right side
    30,491.78x = 379,848,369.78
  5. Step 5: Solve for x
    x = 379,848,369.78/30,491.78
  6. Step 6: Final answer
    x = 12,457.40

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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.