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Finding the Fourth Proportional to 30,652.53, 45,939.27 and 12,863.16

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Solution

The fourth proportional to 30,652.53, 45,939.27 and 12,863.16 is: 19,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.53 : 45,939.27 = 12,863.16 : x
  2. Step 2: Convert to fraction form
    30,652.53/45,939.27 = 12,863.16/x
  3. Step 3: Cross multiply
    30,652.53x = 45,939.27 × 12,863.16
  4. Step 4: Simplify right side
    30,652.53x = 590,924,180.29
  5. Step 5: Solve for x
    x = 590,924,180.29/30,652.53
  6. Step 6: Final answer
    x = 19,278.15

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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.