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Finding the Fourth Proportional to 11,230, 16,844.93 and 2,910

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Solution

The fourth proportional to 11,230, 16,844.93 and 2,910 is: 4,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230 : 16,844.93 = 2,910 : x
  2. Step 2: Convert to fraction form
    11,230/16,844.93 = 2,910/x
  3. Step 3: Cross multiply
    11,230x = 16,844.93 × 2,910
  4. Step 4: Simplify right side
    11,230x = 49,018,746.30
  5. Step 5: Solve for x
    x = 49,018,746.30/11,230
  6. Step 6: Final answer
    x = 4,364.98

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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.