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Finding the Fourth Proportional to 16,648.96, 24,980.64 and 7,890.08

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Solution

The fourth proportional to 16,648.96, 24,980.64 and 7,890.08 is: 11,838.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.96 : 24,980.64 = 7,890.08 : x
  2. Step 2: Convert to fraction form
    16,648.96/24,980.64 = 7,890.08/x
  3. Step 3: Cross multiply
    16,648.96x = 24,980.64 × 7,890.08
  4. Step 4: Simplify right side
    16,648.96x = 197,099,248.05
  5. Step 5: Solve for x
    x = 197,099,248.05/16,648.96
  6. Step 6: Final answer
    x = 11,838.53

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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.