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Finding the Fourth Proportional to 13,379.84, 18,462.68 and 7,410

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Solution

The fourth proportional to 13,379.84, 18,462.68 and 7,410 is: 10,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.84 : 18,462.68 = 7,410 : x
  2. Step 2: Convert to fraction form
    13,379.84/18,462.68 = 7,410/x
  3. Step 3: Cross multiply
    13,379.84x = 18,462.68 × 7,410
  4. Step 4: Simplify right side
    13,379.84x = 136,808,421.75
  5. Step 5: Solve for x
    x = 136,808,421.75/13,379.84
  6. Step 6: Final answer
    x = 10,224.97

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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.