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Finding the Fourth Proportional to 34,457.60, 47,550 and 20,311.28

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Solution

The fourth proportional to 34,457.60, 47,550 and 20,311.28 is: 28,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,457.60 : 47,550 = 20,311.28 : x
  2. Step 2: Convert to fraction form
    34,457.60/47,550 = 20,311.28/x
  3. Step 3: Cross multiply
    34,457.60x = 47,550 × 20,311.28
  4. Step 4: Simplify right side
    34,457.60x = 965,801,364
  5. Step 5: Solve for x
    x = 965,801,364/34,457.60
  6. Step 6: Final answer
    x = 28,028.69

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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.