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Finding the Fourth Proportional to 20,322.48, 30,407.48 and 16,814.16

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Solution

The fourth proportional to 20,322.48, 30,407.48 and 16,814.16 is: 25,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.48 : 30,407.48 = 16,814.16 : x
  2. Step 2: Convert to fraction form
    20,322.48/30,407.48 = 16,814.16/x
  3. Step 3: Cross multiply
    20,322.48x = 30,407.48 × 16,814.16
  4. Step 4: Simplify right side
    20,322.48x = 511,276,233.92
  5. Step 5: Solve for x
    x = 511,276,233.92/20,322.48
  6. Step 6: Final answer
    x = 25,158.16

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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.