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Finding the Fourth Proportional to 16,415, 24,622.50 and 4,103

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Solution

The fourth proportional to 16,415, 24,622.50 and 4,103 is: 6,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415 : 24,622.50 = 4,103 : x
  2. Step 2: Convert to fraction form
    16,415/24,622.50 = 4,103/x
  3. Step 3: Cross multiply
    16,415x = 24,622.50 × 4,103
  4. Step 4: Simplify right side
    16,415x = 101,026,117.50
  5. Step 5: Solve for x
    x = 101,026,117.50/16,415
  6. Step 6: Final answer
    x = 6,154.50

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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.