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Finding the Fourth Proportional to 13,563.24, 18,716 and 7,897.74

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Solution

The fourth proportional to 13,563.24, 18,716 and 7,897.74 is: 10,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.24 : 18,716 = 7,897.74 : x
  2. Step 2: Convert to fraction form
    13,563.24/18,716 = 7,897.74/x
  3. Step 3: Cross multiply
    13,563.24x = 18,716 × 7,897.74
  4. Step 4: Simplify right side
    13,563.24x = 147,814,101.84
  5. Step 5: Solve for x
    x = 147,814,101.84/13,563.24
  6. Step 6: Final answer
    x = 10,898.14

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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.