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Finding the Fourth Proportional to 30,576.62, 45,860 and 8,384.84

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Solution

The fourth proportional to 30,576.62, 45,860 and 8,384.84 is: 12,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.62 : 45,860 = 8,384.84 : x
  2. Step 2: Convert to fraction form
    30,576.62/45,860 = 8,384.84/x
  3. Step 3: Cross multiply
    30,576.62x = 45,860 × 8,384.84
  4. Step 4: Simplify right side
    30,576.62x = 384,528,762.40
  5. Step 5: Solve for x
    x = 384,528,762.40/30,576.62
  6. Step 6: Final answer
    x = 12,575.91

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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.