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Finding the Fourth Proportional to 30,566, 45,856.68 and 8,678

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Solution

The fourth proportional to 30,566, 45,856.68 and 8,678 is: 13,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566 : 45,856.68 = 8,678 : x
  2. Step 2: Convert to fraction form
    30,566/45,856.68 = 8,678/x
  3. Step 3: Cross multiply
    30,566x = 45,856.68 × 8,678
  4. Step 4: Simplify right side
    30,566x = 397,944,269.04
  5. Step 5: Solve for x
    x = 397,944,269.04/30,566
  6. Step 6: Final answer
    x = 13,019.18

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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.