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Finding the Fourth Proportional to 30,586.34, 45,874.58 and 8,394.53

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Solution

The fourth proportional to 30,586.34, 45,874.58 and 8,394.53 is: 12,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.34 : 45,874.58 = 8,394.53 : x
  2. Step 2: Convert to fraction form
    30,586.34/45,874.58 = 8,394.53/x
  3. Step 3: Cross multiply
    30,586.34x = 45,874.58 × 8,394.53
  4. Step 4: Simplify right side
    30,586.34x = 385,095,266.70
  5. Step 5: Solve for x
    x = 385,095,266.70/30,586.34
  6. Step 6: Final answer
    x = 12,590.43

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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.