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Finding the Fourth Proportional to 20,843.76, 28,744.20 and 17,656.77

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Solution

The fourth proportional to 20,843.76, 28,744.20 and 17,656.77 is: 24,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.76 : 28,744.20 = 17,656.77 : x
  2. Step 2: Convert to fraction form
    20,843.76/28,744.20 = 17,656.77/x
  3. Step 3: Cross multiply
    20,843.76x = 28,744.20 × 17,656.77
  4. Step 4: Simplify right side
    20,843.76x = 507,529,728.23
  5. Step 5: Solve for x
    x = 507,529,728.23/20,843.76
  6. Step 6: Final answer
    x = 24,349.24

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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.