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Finding the Fourth Proportional to 27,985.50, 41,980.68 and 7,209

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Solution

The fourth proportional to 27,985.50, 41,980.68 and 7,209 is: 10,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.50 : 41,980.68 = 7,209 : x
  2. Step 2: Convert to fraction form
    27,985.50/41,980.68 = 7,209/x
  3. Step 3: Cross multiply
    27,985.50x = 41,980.68 × 7,209
  4. Step 4: Simplify right side
    27,985.50x = 302,638,722.12
  5. Step 5: Solve for x
    x = 302,638,722.12/27,985.50
  6. Step 6: Final answer
    x = 10,814.13

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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.