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Finding the Fourth Proportional to 27,319, 40,988.22 and 13,477.72

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Solution

The fourth proportional to 27,319, 40,988.22 and 13,477.72 is: 20,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,319 : 40,988.22 = 13,477.72 : x
  2. Step 2: Convert to fraction form
    27,319/40,988.22 = 13,477.72/x
  3. Step 3: Cross multiply
    27,319x = 40,988.22 × 13,477.72
  4. Step 4: Simplify right side
    27,319x = 552,427,752.46
  5. Step 5: Solve for x
    x = 552,427,752.46/27,319
  6. Step 6: Final answer
    x = 20,221.38

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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.