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Finding the Fourth Proportional to 20,522.31, 30,783.47 and 4,939.93

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Solution

The fourth proportional to 20,522.31, 30,783.47 and 4,939.93 is: 7,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.31 : 30,783.47 = 4,939.93 : x
  2. Step 2: Convert to fraction form
    20,522.31/30,783.47 = 4,939.93/x
  3. Step 3: Cross multiply
    20,522.31x = 30,783.47 × 4,939.93
  4. Step 4: Simplify right side
    20,522.31x = 152,068,162.26
  5. Step 5: Solve for x
    x = 152,068,162.26/20,522.31
  6. Step 6: Final answer
    x = 7,409.90

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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.