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Finding the Fourth Proportional to 13,953, 19,255.17 and 7,579.61

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Solution

The fourth proportional to 13,953, 19,255.17 and 7,579.61 is: 10,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953 : 19,255.17 = 7,579.61 : x
  2. Step 2: Convert to fraction form
    13,953/19,255.17 = 7,579.61/x
  3. Step 3: Cross multiply
    13,953x = 19,255.17 × 7,579.61
  4. Step 4: Simplify right side
    13,953x = 145,946,582.81
  5. Step 5: Solve for x
    x = 145,946,582.81/13,953
  6. Step 6: Final answer
    x = 10,459.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.