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Finding the Fourth Proportional to 16,991.60, 25,483.08 and 5,306

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Solution

The fourth proportional to 16,991.60, 25,483.08 and 5,306 is: 7,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,991.60 : 25,483.08 = 5,306 : x
  2. Step 2: Convert to fraction form
    16,991.60/25,483.08 = 5,306/x
  3. Step 3: Cross multiply
    16,991.60x = 25,483.08 × 5,306
  4. Step 4: Simplify right side
    16,991.60x = 135,213,222.48
  5. Step 5: Solve for x
    x = 135,213,222.48/16,991.60
  6. Step 6: Final answer
    x = 7,957.65

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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.