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Finding the Fourth Proportional to 20,142, 30,213 and 14,598.24

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Solution

The fourth proportional to 20,142, 30,213 and 14,598.24 is: 21,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 30,213 = 14,598.24 : x
  2. Step 2: Convert to fraction form
    20,142/30,213 = 14,598.24/x
  3. Step 3: Cross multiply
    20,142x = 30,213 × 14,598.24
  4. Step 4: Simplify right side
    20,142x = 441,056,625.12
  5. Step 5: Solve for x
    x = 441,056,625.12/20,142
  6. Step 6: Final answer
    x = 21,897.36

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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.