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Finding the Fourth Proportional to 30,567.48, 45,849.06 and 8,379.96

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Solution

The fourth proportional to 30,567.48, 45,849.06 and 8,379.96 is: 12,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.48 : 45,849.06 = 8,379.96 : x
  2. Step 2: Convert to fraction form
    30,567.48/45,849.06 = 8,379.96/x
  3. Step 3: Cross multiply
    30,567.48x = 45,849.06 × 8,379.96
  4. Step 4: Simplify right side
    30,567.48x = 384,213,288.84
  5. Step 5: Solve for x
    x = 384,213,288.84/30,567.48
  6. Step 6: Final answer
    x = 12,569.35

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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.