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Finding the Fourth Proportional to 30,756, 46,129.32 and 8,567.04

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Solution

The fourth proportional to 30,756, 46,129.32 and 8,567.04 is: 12,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756 : 46,129.32 = 8,567.04 : x
  2. Step 2: Convert to fraction form
    30,756/46,129.32 = 8,567.04/x
  3. Step 3: Cross multiply
    30,756x = 46,129.32 × 8,567.04
  4. Step 4: Simplify right side
    30,756x = 395,191,729.61
  5. Step 5: Solve for x
    x = 395,191,729.61/30,756
  6. Step 6: Final answer
    x = 12,849.26

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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.