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Finding the Fourth Proportional to 16,399, 24,598.50 and 5,455

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Solution

The fourth proportional to 16,399, 24,598.50 and 5,455 is: 8,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399 : 24,598.50 = 5,455 : x
  2. Step 2: Convert to fraction form
    16,399/24,598.50 = 5,455/x
  3. Step 3: Cross multiply
    16,399x = 24,598.50 × 5,455
  4. Step 4: Simplify right side
    16,399x = 134,184,817.50
  5. Step 5: Solve for x
    x = 134,184,817.50/16,399
  6. Step 6: Final answer
    x = 8,182.50

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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.