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Finding the Fourth Proportional to 30,339, 45,516.18 and 8,451

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Solution

The fourth proportional to 30,339, 45,516.18 and 8,451 is: 12,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,339 : 45,516.18 = 8,451 : x
  2. Step 2: Convert to fraction form
    30,339/45,516.18 = 8,451/x
  3. Step 3: Cross multiply
    30,339x = 45,516.18 × 8,451
  4. Step 4: Simplify right side
    30,339x = 384,657,237.18
  5. Step 5: Solve for x
    x = 384,657,237.18/30,339
  6. Step 6: Final answer
    x = 12,678.64

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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.