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Finding the Fourth Proportional to 13,167.69, 18,171.98 and 7,502.95

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Solution

The fourth proportional to 13,167.69, 18,171.98 and 7,502.95 is: 10,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.69 : 18,171.98 = 7,502.95 : x
  2. Step 2: Convert to fraction form
    13,167.69/18,171.98 = 7,502.95/x
  3. Step 3: Cross multiply
    13,167.69x = 18,171.98 × 7,502.95
  4. Step 4: Simplify right side
    13,167.69x = 136,343,457.34
  5. Step 5: Solve for x
    x = 136,343,457.34/13,167.69
  6. Step 6: Final answer
    x = 10,354.39

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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.