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Finding the Fourth Proportional to 30,522.72, 45,769.44 and 12,983.04

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Solution

The fourth proportional to 30,522.72, 45,769.44 and 12,983.04 is: 19,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.72 : 45,769.44 = 12,983.04 : x
  2. Step 2: Convert to fraction form
    30,522.72/45,769.44 = 12,983.04/x
  3. Step 3: Cross multiply
    30,522.72x = 45,769.44 × 12,983.04
  4. Step 4: Simplify right side
    30,522.72x = 594,226,470.30
  5. Step 5: Solve for x
    x = 594,226,470.30/30,522.72
  6. Step 6: Final answer
    x = 19,468.33

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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.