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Finding the Fourth Proportional to 20,769, 31,156.20 and 5,978.40

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Solution

The fourth proportional to 20,769, 31,156.20 and 5,978.40 is: 8,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 31,156.20 = 5,978.40 : x
  2. Step 2: Convert to fraction form
    20,769/31,156.20 = 5,978.40/x
  3. Step 3: Cross multiply
    20,769x = 31,156.20 × 5,978.40
  4. Step 4: Simplify right side
    20,769x = 186,264,226.08
  5. Step 5: Solve for x
    x = 186,264,226.08/20,769
  6. Step 6: Final answer
    x = 8,968.38

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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.