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Finding the Fourth Proportional to 20,313.20, 30,455.40 and 7,828.40

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Solution

The fourth proportional to 20,313.20, 30,455.40 and 7,828.40 is: 11,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.20 : 30,455.40 = 7,828.40 : x
  2. Step 2: Convert to fraction form
    20,313.20/30,455.40 = 7,828.40/x
  3. Step 3: Cross multiply
    20,313.20x = 30,455.40 × 7,828.40
  4. Step 4: Simplify right side
    20,313.20x = 238,417,053.36
  5. Step 5: Solve for x
    x = 238,417,053.36/20,313.20
  6. Step 6: Final answer
    x = 11,737.05

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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.