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Finding the Fourth Proportional to 27,178.72, 40,763.94 and 9,646

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Solution

The fourth proportional to 27,178.72, 40,763.94 and 9,646 is: 14,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.72 : 40,763.94 = 9,646 : x
  2. Step 2: Convert to fraction form
    27,178.72/40,763.94 = 9,646/x
  3. Step 3: Cross multiply
    27,178.72x = 40,763.94 × 9,646
  4. Step 4: Simplify right side
    27,178.72x = 393,208,965.24
  5. Step 5: Solve for x
    x = 393,208,965.24/27,178.72
  6. Step 6: Final answer
    x = 14,467.53

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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.