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Finding the Fourth Proportional to 13,624.48, 18,804 and 7,658.56

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Solution

The fourth proportional to 13,624.48, 18,804 and 7,658.56 is: 10,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.48 : 18,804 = 7,658.56 : x
  2. Step 2: Convert to fraction form
    13,624.48/18,804 = 7,658.56/x
  3. Step 3: Cross multiply
    13,624.48x = 18,804 × 7,658.56
  4. Step 4: Simplify right side
    13,624.48x = 144,011,562.24
  5. Step 5: Solve for x
    x = 144,011,562.24/13,624.48
  6. Step 6: Final answer
    x = 10,570.06

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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.