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Finding the Fourth Proportional to 30,784, 46,178.16 and 12,316

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Solution

The fourth proportional to 30,784, 46,178.16 and 12,316 is: 18,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784 : 46,178.16 = 12,316 : x
  2. Step 2: Convert to fraction form
    30,784/46,178.16 = 12,316/x
  3. Step 3: Cross multiply
    30,784x = 46,178.16 × 12,316
  4. Step 4: Simplify right side
    30,784x = 568,730,218.56
  5. Step 5: Solve for x
    x = 568,730,218.56/30,784
  6. Step 6: Final answer
    x = 18,474.86

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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.