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Finding the Fourth Proportional to 20,280, 30,425.16 and 14,368.56

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Solution

The fourth proportional to 20,280, 30,425.16 and 14,368.56 is: 21,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,280 : 30,425.16 = 14,368.56 : x
  2. Step 2: Convert to fraction form
    20,280/30,425.16 = 14,368.56/x
  3. Step 3: Cross multiply
    20,280x = 30,425.16 × 14,368.56
  4. Step 4: Simplify right side
    20,280x = 437,165,736.97
  5. Step 5: Solve for x
    x = 437,165,736.97/20,280
  6. Step 6: Final answer
    x = 21,556.50

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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.