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Finding the Fourth Proportional to 30,569.14, 45,855.57 and 8,381.62

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Solution

The fourth proportional to 30,569.14, 45,855.57 and 8,381.62 is: 12,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,569.14 : 45,855.57 = 8,381.62 : x
  2. Step 2: Convert to fraction form
    30,569.14/45,855.57 = 8,381.62/x
  3. Step 3: Cross multiply
    30,569.14x = 45,855.57 × 8,381.62
  4. Step 4: Simplify right side
    30,569.14x = 384,343,962.62
  5. Step 5: Solve for x
    x = 384,343,962.62/30,569.14
  6. Step 6: Final answer
    x = 12,572.94

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1.5x scale

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.