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Finding the Fourth Proportional to 20,588.50, 30,880.02 and 5,798.58

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Solution

The fourth proportional to 20,588.50, 30,880.02 and 5,798.58 is: 8,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.50 : 30,880.02 = 5,798.58 : x
  2. Step 2: Convert to fraction form
    20,588.50/30,880.02 = 5,798.58/x
  3. Step 3: Cross multiply
    20,588.50x = 30,880.02 × 5,798.58
  4. Step 4: Simplify right side
    20,588.50x = 179,060,266.37
  5. Step 5: Solve for x
    x = 179,060,266.37/20,588.50
  6. Step 6: Final answer
    x = 8,697.10

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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.