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Finding the Fourth Proportional to 36,897, 55,345.50 and 12,273

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Solution

The fourth proportional to 36,897, 55,345.50 and 12,273 is: 18,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,897 : 55,345.50 = 12,273 : x
  2. Step 2: Convert to fraction form
    36,897/55,345.50 = 12,273/x
  3. Step 3: Cross multiply
    36,897x = 55,345.50 × 12,273
  4. Step 4: Simplify right side
    36,897x = 679,255,321.50
  5. Step 5: Solve for x
    x = 679,255,321.50/36,897
  6. Step 6: Final answer
    x = 18,409.50

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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.