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Finding the Fourth Proportional to 20,285.80, 30,428.34 and 10,419.28

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Solution

The fourth proportional to 20,285.80, 30,428.34 and 10,419.28 is: 15,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.80 : 30,428.34 = 10,419.28 : x
  2. Step 2: Convert to fraction form
    20,285.80/30,428.34 = 10,419.28/x
  3. Step 3: Cross multiply
    20,285.80x = 30,428.34 × 10,419.28
  4. Step 4: Simplify right side
    20,285.80x = 317,041,394.40
  5. Step 5: Solve for x
    x = 317,041,394.40/20,285.80
  6. Step 6: Final answer
    x = 15,628.74

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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.