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Finding the Fourth Proportional to 13,244.80, 19,869.04 and 7,005.25

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Solution

The fourth proportional to 13,244.80, 19,869.04 and 7,005.25 is: 10,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,244.80 : 19,869.04 = 7,005.25 : x
  2. Step 2: Convert to fraction form
    13,244.80/19,869.04 = 7,005.25/x
  3. Step 3: Cross multiply
    13,244.80x = 19,869.04 × 7,005.25
  4. Step 4: Simplify right side
    13,244.80x = 139,187,592.46
  5. Step 5: Solve for x
    x = 139,187,592.46/13,244.80
  6. Step 6: Final answer
    x = 10,508.85

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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.