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Finding the Fourth Proportional to 30,814, 46,216.34 and 8,624.50

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Solution

The fourth proportional to 30,814, 46,216.34 and 8,624.50 is: 12,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814 : 46,216.34 = 8,624.50 : x
  2. Step 2: Convert to fraction form
    30,814/46,216.34 = 8,624.50/x
  3. Step 3: Cross multiply
    30,814x = 46,216.34 × 8,624.50
  4. Step 4: Simplify right side
    30,814x = 398,592,824.33
  5. Step 5: Solve for x
    x = 398,592,824.33/30,814
  6. Step 6: Final answer
    x = 12,935.45

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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.