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Finding the Fourth Proportional to 20,971, 28,939.98 and 11,539.36

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Solution

The fourth proportional to 20,971, 28,939.98 and 11,539.36 is: 15,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971 : 28,939.98 = 11,539.36 : x
  2. Step 2: Convert to fraction form
    20,971/28,939.98 = 11,539.36/x
  3. Step 3: Cross multiply
    20,971x = 28,939.98 × 11,539.36
  4. Step 4: Simplify right side
    20,971x = 333,948,847.61
  5. Step 5: Solve for x
    x = 333,948,847.61/20,971
  6. Step 6: Final answer
    x = 15,924.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.