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Finding the Fourth Proportional to 20,539.38, 30,809.07 and 4,957

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Solution

The fourth proportional to 20,539.38, 30,809.07 and 4,957 is: 7,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.38 : 30,809.07 = 4,957 : x
  2. Step 2: Convert to fraction form
    20,539.38/30,809.07 = 4,957/x
  3. Step 3: Cross multiply
    20,539.38x = 30,809.07 × 4,957
  4. Step 4: Simplify right side
    20,539.38x = 152,720,559.99
  5. Step 5: Solve for x
    x = 152,720,559.99/20,539.38
  6. Step 6: Final answer
    x = 7,435.50

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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.