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Finding the Fourth Proportional to 13,411, 18,507.50 and 7,523

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Solution

The fourth proportional to 13,411, 18,507.50 and 7,523 is: 10,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411 : 18,507.50 = 7,523 : x
  2. Step 2: Convert to fraction form
    13,411/18,507.50 = 7,523/x
  3. Step 3: Cross multiply
    13,411x = 18,507.50 × 7,523
  4. Step 4: Simplify right side
    13,411x = 139,231,922.50
  5. Step 5: Solve for x
    x = 139,231,922.50/13,411
  6. Step 6: Final answer
    x = 10,381.92

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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.